{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# solving linear systems\n",
    "This is a basic demo of using angler to solve simple linear electromagnetic systems.\n",
    "\n",
    "For optimization & inverse design problems, check out the other notebooks as well."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from angler import Simulation\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Electric point dipole"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This example demonstrates solving for the fields of a radiating electric point dipole (out of plane electric current)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAW8AAAEoCAYAAACXYXDAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJztnV/Iddl917+/87zvNKZJjToGIZmUYAdEBbGNyZXWPwkdEJsLKxmC0GKLKAkUSqkpSsB401Yo9GLQDjGgQhmpILzgyHihBb2wzqQKOoHYIbTJ5CZm2iSNYTLvc/bPi7XX3mvvvfbe6/9ea5/fZ3iZ55yz99rrnOc53/M93/VbaxEzQxAEQWiLy9EdEARBEPwR8RYEQWgQEW9BEIQGEfEWBEFoEBFvQRCEBhHxFgRBaBARb0EQhAYR8RYEQWgQEW9BEIQGeeBzMBHJdExBEIJhZkrV1o/8yAf5jTe+mao5AMDnP/9/XmLmZ5I2mgkv8VbczW6bv4uLcW+y31E0DPnMEc5HTe8xzfS91g33Kq5Jr/XGG9/Eb/73X03a5oO7v/Jk0gYzEiDegiAIFcAAum73sLMSKd4E7bYJBJB23v19VEekbvoT5tv9ZQvtU8t7ao5+X6n3Wv8eY+qdeK73HIt4xzB8daMHwx8W0QOQORZa6g/ORZjr+6YpCHko+b7r31eMDsz3w8/E93lDSxHvEHrXTaPLJnrQ//wAF3pgHFnoj0iEWRCKwzQKaNcLt+IejAuQa9lpRr62G0Ayb0EQGkVik0iMqKR323f0RO/EdR4+r1DZp9ZsTxDOSMxYEONqZN6XSU2Juj9tlckEEe8wzFIlwmWISoguuNBDIwOfCnFNwlws0ilITa9vSc42GM3ZBvrimL/OzJehrx0e49LLSjcIutKJ5AGHVJsIgiC0iMQmUZguj2AOXl5wuaQftCztKon8I5+cnPGbQjIcBqxrc7PM65FCrt917DcU8z3I6EB0QdepgUrCZWKxiS75xhTFeSdiIuJ3C1FPKbolBLW0SN5q1FEa199rqQhmLoQ50R8UKf7WzIxbCzgAEN+NrzFdMmQlk16AThaV+ZA1NiGPyTq5BLmECJcW3ou47yA6D3FM9Tv1+RAI+Vv1EXyf99jWNwLV1qU/rhsEXCiLZN6CILSLxCbp2XIuLbnsUq5a3HR+fF5jH5e+xd7fT3T+vPKcYp3w2nt07shVpn2QgDKATibpFCGHaOeKRXKKdg1CXdtArAt7X+VTYvsdpRJ0k0nmnVAEzfdFykiD6M76ezhmzEaqTZqkJZd9lFi3KNBbbD2fEsKeW9DNHDklqTPpNQEvjlSbCIIgNIpUm7RDKzFJSbd9Nocdgu01KOnGa3fguWKUY5HYpAkkJhkRsXZj/jrlFPNWRBxIH6MchgxYliFGcFoQ7pyCLWKdhhJi3oqIn0PAxXkLgiC0iYh3WpJOhU/saFP2LZfbbsVpO081r9Th5XTi5t9GyprxHDl4yO9Hv3aHVp0wQCLe9ZFStHNk26mF+2jBzrmMQGjbpUXf/B2kFvIck35SCXm7EQrLTjqCIAhNIs67Lmp13TlikpKOu7XlZHNN/Xa6dmIXXnuM0qT7lkk6dVGbcLco2K2JtC+lRT11vptSyFNWosRk4PP+lIGlVLAGahNtIK1w5xTss4u1K/PXIbWY58jEU+XhN+nCb9x5y7teEIR26bq0/3YgomeI6ItE9BoRfWrjuL9JRExEH0j6fA3ybsbg6IDP6rpbWvr2jOR04ildeKqJPandN1BvmecRkPqlPwfgIwBeB/AyET1i5i/MjnsngJ8G8Js5+3OoChAuVQn3xfgvrh93SYVbv06pXy/vfvR7k8b8O5Jcr6P+fcf+ztP87SXecrBqo9CXCqb8t80HAbzGzF9i5rcAvADgo5bj/gmAXwTwZtrnO6XIbyb7AF2CP9hUTjvVcy0t1qWEtyahzyXksaQS8VTsvT6HfSjrzLtcbPIeAF8xbr/e3zdARD8I4Clm/vdJn6uFagYsBUEQvElfbfIkEb1i3H6emZ93OZHUp9gvA/iJ1J2ycZh4x7qds2bbWWc6NrZD/Vp/c2y7lXLJ1FR5eGwlSq5VCafXOHJjhiwLU32dmdcGGb8K4Cnj9nv7+zTvBPBnAfwGEQHAnwDwiIh+lJnND4QkHCLeZxHulBFJSloTaV9yi3rKwbpYcUtRSphiILPKAczypYIvA3iaiN4PJdrPAvj40B3mbwJ4Ut8mot8A8LM5hBu44dgkRrhTiHZNA7VnYf46pNzcN27iSpwTT1GNkqoSpboa8IKTdJj5nog+CeAlAHcAPsfMrxLRZwC8wsyPinUGNyzegiC0DhffBo2ZXwTw4uy+T68c+5dz9qXs7vFJ8uXwNmqISY5+DW6JlE48pQsPjVFip9WXyMAn5L6O7KTTBkeKtrr+8TsBlSmfO3ZpWka+wa9Uy6nGCnmKtVJisvDYCKWq6OSGp8c3I96CIAgTxHnXz1GuOzYmqTkiOdphr7HVr5SuPKULD3WhsQ78SPddB7KHZdW0KNy1lEIC9Yp0CLbnkkLQY7PgI2OUmEqU4hl4DsR5J4A7gNYf9hW0WxPtZNPPTyTWLsyfb4yYp3DjsU5cXLgHjOLVJjVRvfMWBEGwI5sxVEdrrvtIx32E075E9LnL7JRSOfEYFx4To7TivquZcSniHQaDt5KSIFoS7lDRrlWwY0Q55TVSCrz5WsUKeUi0EBKjnC0DZ9yuwOakSuftS0tuO0S4U4p1CYGOZauPMcIe68pDxS00Bz/KhTfDjW+DdgrxFgThRpHY5HhCo4SSrrtFt92C0/Zh/nxSOXEfFx6Sh4fm4EcsuZqy+iRrFQvLgGUUwy9nFn77CN0Ra3WUEO7Q5xUj3GcT6z1SiTnhLigTDxE638G+0Ay8xvw7ORKbCIIgNMj+vpOn5VDxPqKypFbHHeq2czntI0oQU8yWjHHiJWMUdT2/gczQCOW0E3hkbZP2qFW4S4l2KsGubTbmWn9iRN18rUoJeW4BB8IilPNVn0jmfQglByhL1HD7Pp/Sol2bUPuQStRjhDy3gAP5BzJDM3CX55Nz79VNJPMWBEFoDIlNyhPiumuMSkrEJCFu+wiXPX/dSkybjpk96evCfa8VWk5YawZebfWJiHdejvpKVZNw+whqaDySQrST7foT2E7winwRsyf16+0apeSMUUpl4KdA6rzzkWLPR8DfdefOuF2Fu0SuHSPYh+WUG9j6FDS1vH9dcol4qBN3EfESGXjoAOb8g0h92Bz3wcEi3oIgCA0idd4h+L9oJbLuWqKSnDFJqNuu0Wm7EJOnh+TiOWOU3BGKr/sGwmZgVoEMWNZJih3f92hNuH1FO6VYXxIPgnYxO94ERiu+Qh4So+SIUHIP/vpGKIvohO6OG8gU8T4HPq7bVdhyiHatgp1aoEOvFSLs3uuFeAi5r4induE+z+2mBjBvfMCyze/RgiAIN06Vzjtnzn10VOLiun3cdqjTLumyfVnrm4sjD8nHXSMPVwdeQwZeqvrkcG7YeVcp3j6kKkdctptWuF2jEpe2QgQ7tVj7Dj6nyETnz8FXzPeEz0fEXQTcpS0g3wSYW4hQpFRQEAShNaTapAyuTi1nlYmLY609KvFx3SFuO9fGGK7t+rhP8/m5unDXGKXWCCXnru1Nlg6KeB9PDTl3SuE+IibxFesjdjDaw9YnF0F3jVRcYxTXahQXEc9VgXLz+feNV5tUI94+5BqgdG8zXrj32sgh2CnF2vd1jXGK8377iPmWI/cR8lgnHjJdf4+cAr7fXiULVckMS0EQhLZgAEd/dhxJFeJdYjblHi6utFRUktJ1+69+mGtbNcfM22kiivtyqy4OHNh3sa7Rx14liks7NbjaJvJvGbBsi9SRSaoVAksJd2rBrm29E986bVch94lR1q6ZqpTQtZ3UA5inLB0U8T4GH8d91ABlihruEoINuD6f46fP+0x/9xFzFyF3qVBxFXF1jL2NVAOZRw9g1j54KbGJIAhCa0hscgw15Nx7xEYlKcoA99zuntv2ddolps3HLErl6sRdcuO9KMUlkthzzyky8KOp2n1X2q0SNOG8j4hMYrcUyxmVpBLsGtc3sfUpptzPNUrZu0aKwcyt84H1CMZ1APPI0sFDYJbp8Wch9QzKLbZcd4xwxzhtl+fvVRde6NvRnuC4zqR0EfLQLNxFwNV1l+e6rIXiwpEzMKutPqmsOyU5lXgLgnBj3K7xPka8c1WZpCDlCoH29u3n5opJnCtVDhyDWLu2zT36TINPHaPEuNrU0+hTcMrSwRviFM67VM4dM0AZKrAhMYlTLfjBA5mp1ubeijtc83CbiG/l4FsRSu4BzBz5d7OwLAkrCILQJif/fNqiWvFOGZekGKQs7bpDByY3XXziAc0YQnbL2Ystgt3yykDgVinhVl9c3Dfgvju9DZ8dePbbanfSjkzSKUSO2u5UWW1MaeDauamjkqC8PNHsTZe2XNn6Ou+SaW/FIaExyl4line2HrGKYKoVCHOu/V0FDHHeufFeHKmg647JuUtl3L5t1T6AmXKAck/IfUS3dAaeIv8+wn3XgqwqKAiC0CLivNukRGlbaElgyozb1lZITLI7+ccpD0/zmq9lpimqS0JiFNcIJTQD3yLVBJ4tzlx5csN7MdQn3jVFJinPTRWV+MQkcVl4vg/Htbbnor4n5jZhDolR1iKU0On0y/bD67dTlQ46Xcux7tsctEwZ3YQgsUljHO26fQcoSwv3qrvf/EaQbmDTBZv4zfuwJuZrjtzHibscu5eBu7aj7t+ePg/EVZ/scUr3feOxSf1L+wmCIKzAXdp/exDRM0T0RSJ6jYg+ZXn87xHR/yKi/0lE/5WI/nSO5w1U5LxL13Wvuecc1SXW4xNk3PNj/StP4qtSQnFZPXBtMaS1aGQrRnGJUHwz8DVSV5+4lA7eauVJycyblEg9B+AjAF4H8DIRPWLmLxiH/Roz//P++B8F8MsAnsnRn2rE25XYyCR2qVcffAYnXaOS2JhkTbBjJ/eEsia+wCjAZp9do5S5ONuO841QfEoIc9RYxy89e7K6bwbQUckrfhDAa8z8JQAgohcAfBTAIN7M/C3j+O9FxqWzsor3EYsdxcymTOm6Y4U7NN9e/xAIv4a1PfZ7nTvyrzCxieuakK+Js4u7ds3L1zLwkAFM1Ye0y8cePXhYmgPqvN8D4CvG7dcBfGh+EBF9AsDPAHgCwF/N1RnJvAVBaBQCc9p/AJ4koleMf3/Xt1fM/Bwz/0kA/wDAP0r9rDXFYpOtfNUl707h4lNHJl5VIREZd2ik4uq2V/vh6a632GrLdOW2PHutVtvmwufO2jUaic3AfatPQkkxdd6lT00sF8tZnPfXmfkDK499FcBTxu339vet8QKAf5aqY3Oay7y3yBGZ5MrIU2bcoaK9OG9DYFPXfZuRx/y6WsxtkcqWkM9jFF9xLiXAY7v2DDumdDBl3XcLFH6aLwN4mojeDyXazwL4uHkAET3NzL/d3/zrAH4bmTiVeAuCIOSCme+J6JMAXgJwB+BzzPwqEX0GwCvM/AjAJ4nowwAeA/h9AD+eqz8i3oHEDlLunZsqKtk9fsVtb8ZcEd9G2FJBotHO2ezTPFLZctMh7tvnuMk5HoOXp5wgY3DULkwM6Jy63DWZXwTw4uy+Txs//3SpvmQTb6daa8fa7r0/jphp8ClnUrr2y6U+28aaEO8JtvWavC366pydFRcdX4epoC7bXBP0Dt1CyOeZ+DxGmefgrtHIHFupoe+mxpPj1vLzwFUHY1ccdP1AWav5rmJDYga4bKlgVYjzTkTKpVb3xN18PMZpuwp2bN69db4S2PGabBmQNB15qBPfO9ZpEG9FgOf4lg4K4cjCVIIgCA1SOjapidOLd8rIJEVp4N65uVz3Xkwyf77LttO+Sbp+4tky5li6cNOBr8Uoa7GIea7NfZvHhkYssaWDoZN2Su82XyMSmxxAqby7FnxE2fa4ecyWaPvEJKZQuog1Jar7ZupWPgzmmXd/vEWIgWmMYhNeW4TiMsMyRcRSA3tlg64xUK1rnTBLbCIY+FRSuFaX+I7Gu1aezI91Ee4thz0X1DWxjsnAO3SLdpm04FJ/zOjKbW7c5sRtIu6zdZn/FPep8KWYOi9O2heS2EQQBKFFOolNzklo3m1vK+FUcQ9nvVXHrdtxjUpsMcmW215fgTDxbEvjq+8yUllm4maMsleJYmbPtjpwwB4bxDrzLXxX99uacZlqp/kmkdikTlrMul3ikpCse3zssn/MjnCvxSRatO1T61MOXlpquU2Btgj5Woxii1DWVi/U4rtVnxwygDkX+RpX9ktV8713jdIcMUmnJg4R75QbL6QktsIkBp+qktXjLAK8Nih5AVldtl28aXGtUO4wd5wbNeC9kF96Qe7AE/dsc+FmBr4lSj414LF47Z1Zae5d60JVIt6CIAgN0ol4n4uUWbfzNXcik5ice62doXTQMePei0lWI5WVfNx27BwdeUzvM6/TTY6d5Ng6JtF9HSIRs3Z7GqHMM/DQ6pOtx/ZKB3NFJ1LzPYNJ6ryFNCWCobjk3OZxa5NvbOWA84HJeVSyJ9jm/XORdsm+zczahl3Il7m47vt0QHMZoaxl4GsDmGb7036nj070dfe46UFID1TmfXQvjkPEWxCEZpHYpDJqqTSJXT0wpN2QQUHfqGR8bDaAObttnjt15X5vmDvjeAZjWkEy/qxduHbgOkbR6AhlOqlnGqHYyghd8Skd3G3LcVOEUrM1S1ScCGWpUrxzkSvvnuNX/md/zBaXzNuer1diKwccHptl3Athn92eizdZhNy1ZNCMTezByPz4qYgvar3758Jk5tDLMkIAq9UnZiyyJvRbUcdeWWEuYnbZOSNSbXIicm1bBqTJutectc9SsVvrleyVAy4ycOP2mmDbxJpoO/82BfsOBOa50x6nwl+MNqZCr3PqMeNW948Z+FoZoX6+WwOYa6yu3Z1AoHMuF1ti0LKmdU4YEpsIgiC0B4vzvmlidsvZy7pDnfpaZLJ23HKxqfXKkrWoRLvutXjEdNqXldT70h/TMU9ybgBgGp226cTVfWbfp3Qwow6aHDEvIzRdu636ZNHfjanzruw5aZeywZBddgTFLYdHNy/eKfEZbAwW9p0d3pflfPaZk1q4JwI9v03TuGQIL8ieeWt934pQiNXXXX0wgXFhHo7rYBdwwJymPhXw8blOBzDnbE2f38JvZUAZ+CuHrCpYFbVUmqTGtcLEtn7J1uJUhLulMK+sU2JWlMwzbprfJpqI9sW8bRHpSQRO0/rb6TJTKtfuzAxct9efszao2Q3+eGx8cNZsG8CcrgW+tjmxbd0Tn0k7rZBqfe9akMxbEAShUcR5F+KoBalSlAimnlUZ1IednWxspXtmdclWxj3cNiKROzIjFCM+oem1Lrb3T39fx6raRLtlXWcy2XhBO24a3bd6bN1962c3j0fmGzosXo/Z5g1H4DPbcrWNjanyt0QnMyzPQc4ywcW1PNcycX1scZ3NuMWyCiKb5YBb+bg949YDjfOY5M64fSEdqxjXnQm4jk3uqBdhIxIhAFc9SYdpEHpi4Loh4DZBni8ny7Qc9APsU819YoKt3DvVWidJlma9oan1LNUmt4vPErD5+mBbIMptrRN9e2uyjFnPPa/jnjzei/PF4ryJgAdkunLg7jKbuDPrwmRdbjCuneHaJ49hcN46Kzcz8Gm+rV31OIln1WH3/n6t7nt5/HLSTg0ZsFScbNNt/O2fnZsWb0EQ2kYWphKyEuvm16bBL65jRCbWdizVJfOMWz9+RzREIQ+IJrfviHBHo9u+DGV/CvP91DGjY4JOma7MYMMt3cOoCdeB+CQDp0X1ybrbvgyO3xafmA42tGxwbO94V37rMEiqTYT6cBH8vT0m56WB02PmpYLjwCQwRiVAL9YXDDHKnc7ABzEfzwGmbujKhI4x1HJfmHA1sxEoAR/6wNNFq0yhvxr3A/uDl+ZrsTUBp9XSP0FiE0EQhCaR2ERYpeTGC3uPb+0v6Xbt6fT3yZT3PhbR7lpHJQAG1/3wYjpv4M64vSzpU1wZuHasqkrQD1ZOyk+m/b/2S8aqc1n1kbUzV98jtjZ3mD/f+bE+GxD7Pu5LzkWqbgGZpCMkx0XwXTcYdoFW6r/ndd0miynvlhmWZsb98EJ4cNG3gYcXwkPj9t3sPXTl8f+PifC4D6OJ+6v22tkRj7Xmfcm3lttuEZNMb6v79HOfiqC57ncIWxsU249PK+yCGyyxSf2ETosvtYZ3KTb35xz+s/9Bm3Xd6vixNJCoL+Mbpr7PM+5RoL/nQnjiDoN4P6DxZ83jXuvuWTtzdfJ3OwbTaLg7GhepYhrrwHX/mKdZt2rWVu9NMP2/zVmfrewudKJOrj02hbI0I96CIAgTWGZYCp7sza5Myd6U+FCIlsu6mqWDKudW9+vSQJ15P3EHPHEB3tZ/CXjbHeMhTatNHvdvqjev0+t0UE6700vEEkM/xa4jXAynDSgXTrYylgTknCo/LyV03RZNcEcy70ooPbOxZUIy8r3se/y/gkBGHbcanNTRyMNeuL/3gRLTt98x3n7X4WE/CPm4I3znqg5WHwA0yPGVVfngVZcOEkB6MLMPNXRf1NjmdIZlZwxoug5cqnPD1uu+RdopnSTJvIXz4lWNQvPb9sz7ASm3/fY7JZ5/9Il7vOvhY7zj4T0A4NuPH+Abjx+qg996oAYtO3tbVzJm5fR9uDpqsq2aRLgtJDYRBEFoEHHeAoDbim7WdsEhIyqZHj+65YcX4CEBb79TX63f9fAxvv9d38K73/cHAICvffmdwDe+DwDw5vWCN693Q+TyVresCb+Y12ZjhUKe9vV6Ay67ncjieFTmfXQv4iGiK4B/CuDnuS+9IqLfYuYf3DpPxPuGuRi13Db0Q7ZjiDBk3O94eI93v+8P8LbnfgoA8O5PfBZv/L+3AwAevvXE6vnmNazX70sMr7c8jU7Y5CQDlq9CeZr/SEQfY+bfw/ZbA8DSBAmCIDQDJ/53EPfM/HMAPgvgvxDRD7l0R5z3DdPxWLlh+5zXfz0248vGIOS3Hz/A1778Trz7E58FoGKTbz9Wf1qPO1o937yGDWYMe10Kwhz193EK500AwMz/hoheBfBrAN63d5KItwEbC/Cfnc5cihW9mI7LiCyyxA5jFcjjTtVx63LAbzx+CHzj+4aoxKw2+c71gsc8zri8MhaJ7rCM6+z/Zl9vBcm7/TjJq/VT+gdm/t9E9BcBfHTvJBHvk2NbD2T1WJ6uUaJdr6rLHsX7ntXkm+HYtx7gzesFD996AsC0zvs7V8KbV8K9sdaJ2dbcWfsMQN2SqAt2Wt4GjYh+jpl/iZk/T0R/i5l/HQCY+ZtE9Kf2zr8NmykIwunQC1Sm/FeYZ42ff3722DN7J1fjvIdpxPJ5soueKegz01LHJNqt3s1mKRL0Lu8KBg95Ytcv6/rYmLRjrkl4ZeDN693q9Pg3r2Ns8rhTbXVGPMN9H/S1u+H2zJWv3O/2/E/yBbsALUU3jZcK0srPttsLqhHvlmDuJuub5MzKO+qSrW/Cwz5jADODZzV8HXhYZvvajVuXXVitx62XdTWnrwMqJtlaVfBxB7x11fdzH5voSAa49scy80KYub8/BznWNNHMBVDWNMlB89PjeeVn2+0FpxfvjrtTLQvLuK4uCzu6y3F3dcyONTPwDtyvr623HBvdL9EosBdWC0bpY7/bqY8rnVvfkZp8YzJZz7vDIPzzzPvKo8x1rFz7OGg6FfMOPLj05XNndP1/a5xpOVgAQcvBnokTTNL5c0T0LShH9Yf6n9HfftveyacXb0EQzkvLzpuZo7bpaka89dfO0E0ZStLhurubjpnxd/1WuqHoHWNsO+rMV+Uz778zVvvr+rfBsBECj28MtWEwhkeZVJRx5TED39sGberEeXD1ymmPWbb+Byx31Jk/J+XE7e4zZhcd1fZ4vksG3NIOOhLhnINmxPso9Jsy1V6We8K+9bhN5M0lUvevzcbZ/Q42el3tfsKOdf2QjpSad+PNjsZp69u7x/cDnmbGzTzk3Fdm3A+P8WJijpl3M5aZ+N7zXd63Llx7ApxaoFsS/FppPDaJQsS7Ulyqb9Ycu5l9X/qfu9n2aGOVyTQD1xsFM4B7U/w6QteH3h2pn/WCUlcya0+mIy0dcy/e/bG9QGsxv+9vA/2MOSPVnjvxed9Vyq1duF2UXapMWqquEEaYRbwFQRCapOXMOxYR7wLElhLqkjZdMqirJuZVJ0wdOl6v/57m3yoFuei8We+JYNhnXQt+P7h0o8zwMu6AA/BiCVnTETHGmKTrz783Mu+rkXlfjQoTXTo41oFvxyYdutWse15pElsmKG69Dko7byJ6BsCvQJVxfZaZf2H2+M9ATXe/B/B/AfwdZv7dHH25afHeKrsr14duGLQEdNDhnnur83Rp4NKFjKWB6kzNfCuxCysB1+WAMDa4MQcxgX6X906tPK2ZL/tq5t5asAH1ZtMirY8bog8t1oaYz5+LOUi5LeS8iExc8259XA0CfbbyxpSYpa0lIKI7AM8B+AiA1wG8TESPmPkLxmH/A8AHmPk7RPT3AfwSgI/l6E/9pRuCIAgrMFPSfzt8EMBrzPwlZn4LwAuYLSDFzP+Zmb/T3/xvAN6b/En3nMp5p3DSrtP092ZZbrvn/VLCtXanjy2fr45ONFsRio5OhmMZuJoVI3pXHVZVKONAYn+sPm+6DeX0OnrCDaZOm437zdjEnGWpI5O9qET/3xaZbDlXH2e9VRkyfyx0dmUKp39LTj2T836SiF4xbj/PzM/3P78HwFeMx14H8KGNtn4SwH9I3L+BU4n3GnomWsxMSx/BzcXeVHlb2eC88qSbifllOK6/rUXVEGTdrpmoXI1rXXkvNuHJ/R14KAdkmMI+r/Oe3taRyVaFyV4pYc4p8a6kKBG89dmVmgyZ99eZ+QOxjRDR3wbwAQA/HN8lO0XFm7kfaKN1Edwb3Js73lbYcvTmc9aZtllfPj/XzMcZ14k8A+MElfngpRLhsXTQxObCO+28+63I5svLTt43bK/z1tcdfubpBPd5xm0boLSVBo7nd5PnbN7Plhx77G79jVIuAAAVe0lEQVRnPHZdHLPlgmvIwkPY+wbQ4vMqPF75VQBPGbff2983gYg+DOAfAvhhZv5urs7chPMWBOF8qLVNipYKvgzgaSJ6P5RoPwvg4+YBRPTnAfwqgGeY+Ws5OyPinRCfZW1DZ25uRSe68mQ6GWd0U6YL55UIxVyWdZywQyAjF2FW0cncBQ8VLJZVAOdT3eduezxuGpPYpsCbOff0/mWFyeTxwMjEJ+Zo0b22TEnnzcz3RPRJAC9BlQp+jplfJaLPAHiFmR9B7QL/DgC/3r9nvszMP5qjPzcv3qs10zvxDbC/3kqwQGMsBzSz9uWgaDdEJ+ZzGOIN6ob1TpYrDtKqgI/tGxj7XV7BEzHX7Zm7vC+Wdl15bL5SoC3jnj42XTlwiIjm17NEIer+ZVxiO86VPWF3GaxcXZ/lhgYfgzhghiUzvwjgxdl9nzZ+/nCpvpxOvHPWbqdY52TtQ8HLtRuTdmx136PwMy7GolVTgboMAq6OHc9Rj449uSrvPc28eTo4al0TZejTUrjngm37/7ye2ybc07bX67p9XPe6mMa76pzrmZQQez1uVQOl67xr43TiLQjC7ZBpn44muCnxLrUxQ4qa7/mMS/Xz3bQyZZZ/628dtm3SuI9Q5u57/GkZocB65NKJ+8Azd23+vOW4zf/b6rnHWZHr0+B9I5OY2u5cSImgCaGTtU3qopZyQdc1SXz7sz3xxn8dlHnp4Jh9T6fOsyUDn0QsE3G7TGKSZQ2531K0a7eng5XL/Hot49bHTcv74jLslOWBJSfmOF3nhGWCt06V4n0EPll56gk7rmuZ6OMmGzkY7ts2gDmdpEOTjRuWAjd14mMfthe62hJx+5raS8E2759k1Rbhth1nG6C0uW7XQcoj1+6WgUp3JDYRBEFoDBmwPCFr5X8AkkyVt17TYa0TYKxUcZ1xOcdWOrhWfbIWoQBjGeE0W59WqgzH9sdoPzjvm2/2bXPb4+2l63Zx3Itzabky4Jb79YlMUq1l4stW3n2rbl02YygM83VzivxRWBd6WhHZHNEJYBd32wCk2b/5AOY8A1ft3C3E+WLmx5tvgnkteLg4bYn1/LathntPuNcGKJf9WD+uVGTSUs5cU4mgyQ1r9zmdtyAI50dNjz+6F8dRrXjvTVqpcTf5eZ9sz2Hu2P3KCpeLVi2OsQxgqussywjNChJzMSvN6NLXBzZ9sa8EaK8mUY8tXfdeVGK/rn3Gpe2YoS8Ojjx1ZJIj/ihRaXLIjvQsA5anZauCxLfmO3Yrs8m1dwR867p71SfAcgYmsFZGqB7B8BNNS/EyvDFs4uki2MOxjsLtUl0Sk3PH4CuWknWv007wlJ5Ti3cIW4Odc9Yc8N7gpUu7c3FXfbLtFL+x9slGGaFqb+nENXMhB2BZJyWMtX0mV5d7nU+8cRBtdZz7AKWvOLs6bikRzIfEJoIgCI1yw9p9nHi7VpzUMtsyluWGCtulgzZXb9useH6s6QhtZYSauQtf+sZ5hcnSicdgn7yzHpHYHt+qLJk73q1NhX2z7laqRFJl3bVWmgDivE9NaO4dWzbo+qHiO4Bp23XH6VhDxG3nLpeVnQp9yDomLuwJ9vyYrZhEHbsu+L6i7Bp52ETSpzxwKy6RvHsdBsCytokQi2vdt9M64RYBB9ZrwPcEXB8L2AczVdtjVYrGJuQma5sbz9nLyNdEaMtpq/PyCbe9n25ONeeyr8IUcd6CIAgNIuKdAeYOe99oXDYkBtxyb9XOegQC+E+XX4tcfFYbtPXLp7Z70teVWGQZcVyN2yuZuiVGMZln4iZ7jnyLzYjAlkdHuG2X49f74ubMY1cPzBWZ5M67YyuOUsCQAUshAJuAu5YO2nBd+2Q/I1/GKLZ2ddumOJprg9vEfLxmfCwQstdkLuEOEXif0sBWBjhDOez5HbANWk2cSrxjKk/WBi996r59CBVnfQywVakyrUaxnWOep8+di+aWmKfEVaxVP9ycYMjsyNJrkKxm/RGzFQ+Z6XggfMPeu/4aO0EQBGFBMec9/zpv4lLz7bNB73obaTcn9i0dBPbzb9v5MRGKZl4Tru7bvsbWWiGmK3fBdQPgGLdtOz8mKvHJuUu59hSRlVNlTcW13RqZYZmRFILrfc0M0QngL/xrg5C2/rnm5z5CD8wXxFqPUszr2N7Y1mn5iSbsbC/bul3zvdeOqyC7HpdiCrxqO2yQcrfdG4tMABmwFARBaBJx3g0Ru7pfjgHItT75VJ/4RCOaran0a/2yRSlmG+Nj9mvmxCce0az1zaXUz2sWpKfrzvGaxUYmZ6x6kSVhK8C15tutre26b2A9Btmr+wbswu/7oeKbgQP74uxSUTJt1y7kZlvj42mrbVyiBp+IZK3NFMf6xhHbS836RyYuop0yMmkh7wb6zPvoThxINeLtQ8q1tdcIyb9DtkxzzcDX2vEVe82WkKtzt8U8B/vT6P3y8Vxu27cddX+enNuVM7puQGITQRCE9pCddOoi5ebEe5UnMaWDIdUngD1+iMnAzWPnx6+VBc7PsV9n6dRcF6Law3XCz55b9J3NmNt1rxGTVcdOg/e6lmNcMlnw68AKF4lNGqVEGaLvVmmarVhnq4QQ8MvAAbdBSvOc1fhmR8xVG3nfKi5f7X12xwk5HggrCQyNJSQyiUOcd2Z8a69Lu29gvfokxwBmSAauruOeg2u2hB9wF/O164fgIyZ7LjfEaa+dF+q2Uw9QupwL3OYg5Zzzfizt06zzFgThtmEw+Iatd1Hxts3yiyVV5UmO/HvPMQPuGfhWe67Z9lY/1s5faysXTiv6JXTbw2OJXXfOnNu9nfP7Uqk2qZDSdd977OXfW+KfMgPX7QHuMcr8vLVz9fk2jqjznhMygOlybuqMe098U+TcR0UmNazjbXLD2l2vePvgOngZW32ylX/r81U//F24Twa+1+aWE5+fq9l77Y7Y2ivHAObk8cIZN1Au574F1y0LUwmCILSIbMZQnq3lYeekrDxxup7D2iehJYSqff9SPtNthcQoJkdUl+yRsvpkr00X55pjvRKXqKT0bvCtVpgIilM5b5fByxT5NxC3fOxeBg5siGxAjGJrf+sa8/aOJlawh8cjJt7stl1g+rvLB0+u31ltWbfmlnfSOZV4C4JwO0jm3QA+0Ylr6WDOqfMu5++55BQxylb75jVMUleV+OI/9TzcbbteM8Z1u3DEIOVZIpMbLvM+Trx9cu+jyFl9Mh6z/WGzVYkC+Am56kt4VUkqYY+pXHEVqBKirY7JW11SA7VGJgDQSWxyDD6TdnzqvlOVDqq24gcwzTfoVhmhenx70NFFyLe/UfiJ+Vo/SuHnJuMF2+WaLoKbaoDyaNdds3AD4rwFQRCaQ1YVbIzU+bdr9YlLhOJSPhhTiQI4TsDZiVLm1zMpuVm0Dd9qCVdnWspxA+miktTVJWfJuU1kbZODqSH/ThGh7GXgZjsxAj5cbycPB/yEXF/bBV+RT1nC5jM1PIVoq2PKCXcNu8DXHpcAkEk6R3cghBzVJ6pdt6VrU7jwvQ+CkIoRHyEH4mrdS9aAh4hZKtFWx8Vn3DkGJo903TV8wKjY5HbVu0nxFgRBAGTAsgp8l4vNUX3ig2sZIbAdo7iWE2p86rZ9nTgQP/M0llBHl2oW5nhcmpjEpy3g+OoSoJHIBGp2pTjvArhGEjnz79TT512EF0gTo4zHucdAPpHK0L6jePiKfI6v2akn9IzHpSkFdG1rOPbA6e9AO6JtIs67YXItXOWzdZvLbMxUg5nqGDcnPrm+pyvf44jMM8ca4NNj63bbvpyxumSOOG9BEITGUGub3K54Vzk/3ffrG/PV2WWolCzdFOux3bSuTf/bP7ab/HOlw3XxrxZsffPJtH1fD9fXuuPuUNctOfcSTvzfHkT0DBF9kYheI6JPWR7/S0T0W0R0T0Q/luVJ95zKeedawApIn4FrXLNwl3bV8f6RytCvAuuauFwrBO/JPR7X91nStbXBydYp+ZFDSlyeA/ARAK8DeJmIHjHzF4zDvgzgJwD8bO7+nEq8BUEQMvJBAK8x85cAgIheAPBRAIN4M/Pv9I9l/1yJEG9K1wsLOXaan5NjAo9q1305WZ9deVyd/Xh8uqnvNcUqoRUXvhNljnbcqt383tI/puxmt4/52zhgks57AHzFuP06gA+V7IBJUecdsouNb+mgb/WJTw24b4TiI+Aa1/VRND5rjte2jokrMQIWMrPRd+ebWoT7VnLuEc6xtsmTRPSKcft5Zn4+9UVSkFW8x4k0kVuOBQi4uq6fsOWYRq/J4cRDrzGea5mkc6CgJ13/JLNo+7af222XEu6F6z74AyCD8/46M39g5bGvAnjKuP3e/r5DkMxbEIQmOSA2eRnA00T0fijRfhbAx0t2wKSIePu42qTXDYhQfNy3JmUlCuAfo8yvMfQroEIk1EnNX7fSjixm4aecMQlQV1RyNsoukMb3RPRJAC8BuAPwOWZ+lYg+A+AVZn5ERH8BwL8D8EcA/A0i+sfM/Gdy9OcQ5+0z+KcJHcDMmYGP1/AbzFTt58nDbdfyuV4oR3x9Potgj9coI9whkUkNqwguKb+2CTO/CODF2X2fNn5+GSpOyc5hsUmIgANha5/kzsDVNfyej6+IA+5T7LeuZ5Jb0FORajlVX8EOvb6v0JXIuIF0OXctyJKwgiAIjdJ+xUw4TYp36MqDOTNw1b5/KWSMAwfCXPj82jaOcOU5Niwo5baH8zK77pJRiQ/HVJ0wOP9cmGo5VLxDxE4Tk4Gra/pNdCkl4upaYUIOxIn5Wn9aIlSsgXKCPV6vfuGuNTIBJDaJFu81gco1ezEVuV24ukbYh5PPBJ85ucS8VmLE2qSkcItop0NiE0EQhObgwycJHUk14h3qUmN23gktIwTCYhTA/fmlKvM7mxNP5bSBut32eK3y8VVK1010ybbbDQPoJPNum5hFrELKCIHwiUchEVGKyTeaLfGrRdhTCrRJbI5fKtserxdRx34jjvRWnqeNU4i3IAi3CIt4h0IZloWNGbwsGaEAYZUo6lr+Mcr0unlmTro63hiHnstVr5GiaiYmRig1AUdT4yCl1onbrQvJQ5XOuyUBB8JFXF0zvFxSXTtdpOJKaQH2IVWJY2nBHq/bhnDXMFDIlfTjKNKJ9+52XvknvGiOyMCBNCKurp1u4k0rU+BDSVmPnsJ53oJw1wNXtUlIaap03oIgCC6I866Y1iIUIM6Bq2unceGqL3Zn0qIjzzXrM9Z5xgqIOO4wGCylgrVzpIBrSscoYx/SCfmk3UpFvdS0/FTCdVRMAty2cGskNmmAozLw8frxThxII+Q5lxJodU0TF2oQbNWP+Nf4SOF2fv50yVxiIjMsBUEQmoMBdDe8k1DZ3eMTxAgxxEQoQFwlytBG4ihF9aeOmZG1kTIaSOXwJCpJiTjvpohdgdD844/NwlOIOBD/YSZirkgtTmcQ7NTUJpZnjvn2aE68BUEQFDI9vjixu8mnWv+7hhgFSOvCgXUHehZHnvvrf0p3WYvrProcMgcyw7JRUlVepKpEUX2JL7PLOS6w9QauUdhLZrQ1CbYmVrhLvH5HLFlrXP3g6x9LEfG2ldnFuu+x7TR10LEuXPUlvYgDZQZ4Xd7oKQS+pkGzHK7t6DLAsR/lBmuP/J1KbCIIgtAcLAOWR5E6IqihEkX1I50DB5bO56hSy5pccwi58tFaYhKg3oqbHDDa/5uMIat4u+bSqSIUfc0aBjNVX+Km16+2W4mY105O4UmZtdYyKDlpq2LRHpFqkypI6cJTDmbGCrgml5ADIuaa3IKTY3BMhFsIpRrxFgRB8IKPrnY5lurEu7YIJVUObpLThQPrzuksjry0M0wtECm/6tfmuMtm0DI9vjpqE3BNTiHPIeKLa238odco7Ee+MWsWbE1twl0aGbCslBwZOJBuMkrKPBzI78Z3rx/w5nX93bQiDLm+gtfqtIc2G/n9LJFSQUEQhCYR552Y1F/nUn6lT7mhQY4YBVg6wCOcuAvtOjZFzsGu2mMSIO73V8tAoYh3AWJ3okmdyabMwoF8Qg60I+a1U0JwWhBtoP0PXkAPV7b/PEKR2EQQhGYR590AOVbby7W5b+rBzDnixN0o+dW+Bcd9Brc9gWVVwabItWRqzhgFSB+lmKz9Ad+SqJd+E+f8ui4xiTtnfV4ulN3DsvIlU3NuJ1ZSzDU+glaT0NfoploTa6DsQlzHxBcssYkgCEJryCSdTGzFEKkz21zTwXPuPOPj5Gpz6WehZKVCS1u3Tdqt/O9CYpNMDC8sb4tdrq/3WWcNJnozunwI3HI5VA20uh3b6jUSCjJzd6CASmySBu4A6n/EFcyXQZgYnfqOE4gpcLmdgJ5uWyoD3vvjq3HNkbNRi3sr7XJTCJ9+7XRbjKth2kp8ENXxuzsCUQZBEIQGiXbewycfTT+FGR267l49RBc1SzIwJ87x6brnaGv+RK9xp/cWqPl36kIt3xCA6WvJ3I3Oe/Ya533NGajoNSlNlHgzWCclSqy5F2tc0OHxIJDE+xGECJIg1IOP6KqYdBRvrQODmYvJTLcv3PwHcgwJMm/9S7sfxPqKt3DBAxBrQb6Pv4wgCNWihbrje7AWb75HTmfMqOvbSGmkzlsQhEaRapNA+ryJqb/VocNbAADCA3Tmi3pUJHLDv1jhxjgydjTzb3SG8+76x3K+D+uuQ89J/IBln2cR34P72GSxZnamyCuGW/7EFtpkc1zo4PfY9P00lgpmy7vVBW76fSyxiSAIDSPiHchYqsMAwPpT9goCjTcPJu+nvyCUYf5+oqHWqx6m77VuuDfX1W45Gk3gvG2/rMO/xSXkPM9EqJUwEa7/LzN/D0sbMyJ6BsCvALgD8Flm/oXZ498D4F8B+CEAbwD4GDP/To6+JI5N6v9zEoT6kPdNOOWcN6k1M54D8BEArwN4mYgeMfMXjMN+EsDvM/MPENGzAH4RwMdy9EdmxgiC0C7Maf9t80EArzHzl5j5LQAvAPjo7JiPAviX/c//FsBfI6Is+ZaItyAIjcLJ/9vhPQC+Ytx+vb/PegyrmslvAvhjiZ7wBN/Y5OvA9XdzdEQQhNPz/Ynbewm4fzJxm28joleM288z8/OJr5EEL/Fm5j+eqyOCIAg+MPMzhS/5VQBPGbff299nO+Z1InoA4A9DDVwmR2ITQRAEN14G8DQRvZ+IngDwLIBHs2MeAfjx/ucfA/CfmPMUTcskHUEQBAeY+Z6IPgngJahSwc8x86tE9BkArzDzIwD/AsC/JqLXAPwelMBngTJ9KAiCIAgZkdhEEAShQUS8BUEQGkTEWxAEoUFEvAVBEBpExFsQBKFBRLwFQRAaRMRbEAShQUS8BUEQGuT/AygW5L9VZG2TAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYEAAAEoCAYAAAC+Sk0CAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzsvV3ILF12Hvasvav7vOf7HBtZ4ytJE4/xxIlEHAeNpYsQETCyJxf23Fh4khsZnAtDdBWMscEoeBLDODexLhTIICsogSAbGZvvYohiEAajkGRGUYg9MoLRRJFmyI1+0ETfd97TXbVXLvZee6+9ald1db/dfc57vr3g5a3qqq6urq5aP8+zfoiZ0aVLly5dPp7i3vQJdOnSpUuXNyfdCHTp0qXLx1i6EejSpUuXj7F0I9ClS5cuH2PpRqBLly5dPsbSjUCXLl26fIylG4EuXbp0+RhLNwJdunTp8jGWbgS6dOnS5WMswzk7f+ITn+BPfvKTtzqXj6XQmz6BLpuk19VfV375l3/5t5j5j1zreO4PfjdjfLzW4cCvfvvnmfmzVzvgWyxnGYFPfvKT+MVf/MXmtqCeEm68BgD3blFBtF3Fuo27btlt67G2Hu+kcLjGUd5toacFvefcufa+f8oxtx4LeDueL33v08LrAPDee+/9P1c9mfERw5/4C1c73PH//O8+cbWDveVylhHo0qVLl7dSiEDOv+mzeJbyZCMgngrrZWYEANoxCcZLudSzOsfLBnjR03YNL8a+1PIdT3k/wLL3dta5n/Lut3r/V4wS6MoRBz/RO5/J2vHk3Ld85hnn1fqt7UtL94P13O3VbTn29jla+sxTcukzVe/K1XNEVJ+zVwcOfO6ze750I3CZPMkIBK6hnyndAZyWi1Gob95TD8m5Ue0S6mNvulM3sH1fHc5SPrlqXwAT18ZhKSSenXd1OkYFyPqC4p0p5LCgoK9lTDYIWUN/Ao47Sydcqrxd/dqi4Vk7PjkQ1hWt3lZBo+qahPya3rf9XOhnp7Wv3d9+brXfE5+ntecoPysUlym/TkDg/Fw4Kud3G2Nw/0iAiD4L4CcAeAA/xcxfNNt/CMDfA/AnAXyemX9ObZsA/Iu0+hvMfD0s60zpcFCXLl2ev9wZDiIiD+AnAfwwgG8C+AoRfcDMv6J2+w0AfxnAX2sc4hUz/6mbn+gGuRocNDFjSisTA1NgTDoSABuvpiy3vKVLxPpyLe/cevH6NRsBiPdPVKIcRwBx2Tal7S5tJ6JVj2fm/WtPXC1nTz+0t9f72lBqIapYWt+67Ux5ksN3wjPfvD7Ff5x/S9feT0UMOVqQ/xxiNKD2X3KuNSQKoAmL2sQJ2W6jgvoZic+QXl/6zPz6wjlulfJ8LES5VD9DjgCf9vWOARC8nPMZSRqXCAEgf9dI4AcAfJ2ZvwEARPSzAD4HIBsBZv71tO2tzty42AgIFMQVBBS3jYExhaI4p1BzBHUmEc9eA7aFsK37ykIxSzetfr8jwTOL0ndK8WulHyChrRiFZY5APn9R8XOYK3sDA2UFbw1AwyA0MfuWMbHHUzIzKEvyFGOxAdpZhJLse92CUkcN/ZBV7OY/B6r3NQaC9WvKIHiqFbaGPayIAbAw6RIMpB2nwHNnyRoCfaRLoaE2FJSeA5B6TZ6n4vx4B8hlDIwIkqC8IBzBORlPm4UI7rqRwCeI6Ktq/UvM/CW1/l0AflOtfxPAD55x/Id0/BHAF5n5n1x+qk+Tp0cC6X8VCQTgGFgZgXiD6htc3wdT0Dfv9jvEKmDvihdOAIhKNBI9eALrGzh7awQHIFBS7ExZ2c8/U5S7Mhgo3lKNiybFbJW+VvjWo2ezrRUdLBiOSoEvRA2t9UXCd4ui32oMtpKtaT996Wc4/tp6tUz168ZgzIyENgzkiiEKZrtzVbRA5ODSuhCgQRQmc1aMDoTAnO+rydzqUdHLR3IyEuka8NyRsg5U9hfS8aaGtr3k+SoEL6fnSrZrwxDPl11+M1wAyMXP8zeOBICrE8O/xcyfueYBjfzrzPwtIvpjAH6BiP4FM//aDT9vUTon0KVLl+cv908R/RaA71Hr351e2yTM/K30/xtE9M8A/LsAnp8RqDwXBQdNHKOAMRRPJXDxTLQ3ItHCUnLLmjjrZahjeBfj9EsckFamgxfHL63LcT1R2/sH4peykI/y7tc8/xxBKG9/5umv8QlnRQIm62Sali5NLWHjfiIbH9IZtmt/xBORAOtowkYJNlJQ3n2GhtJ+FYREDBZol9W2FBUUeCitp49gIpA8F+AcDQCI91QgBS2qW/hMyERH1/Y5mzSMdNZzxnAOOKb3+BztlgiBUL5L4JJDFSNtwKPAqHId/A2CAgJAJhPsxvIVAJ8mok8hKv/PA/iPt7yRiL4DwEfM/JqIPgHg3wPwX93sTE/I1SIBVgZhSpxAUAbiOIXFm3EySkgbiRbmLjdjCHWEH0Pt7XdYBeGQvsnjTSVhsFby3lEF/3hjMBDGWpFP41zpW8WPFaXf2LfaX7bp/6gVe6XUjeLmMM31zZqmOFfxL8mKQeDGw9z08tJr2mgwUfktGgZgEQIKriaPTxqFwiUQOcAPeV8iB+/SOjS0RWCUtMkpMLyLMKWsFwiSktFIpwfaRpTJ/vaZWnne7P76GapuHYqXJTtuTGpfgneMSXi1EJ+NCqq6PSJ0N2HmkYh+DMDPI7IfP83MXyOiLwD4KjN/QER/GsA/BvAdAP48Ef1tZv4+AP8WgP82EcYOkRP4lYWPurlcITuoeB2SvRBQcwBiAORGXFP6S8cH2gZBS/TY002I4tHHdUrZC2k9efBAVP56X1mXfR3R7H15HWgrfmCuyNN+FbZ/QunTghGwkYFV9Jx3S69rLbCgyLn1+iUh2iY51qsLXpwof9b7Z4NwjJ74WO+rDUwxEFM0EAuRAVslv8EolG0DWH7/ZBD0uhiEmGxQIoOoUJG9aThSej5qTfULQ4yISOCCxwfZBcl5Cdvw/9Y+9rWcCceMaVKRtyv7jQEAqCRUMYOZzrFbT5T71wkw85cBfNm89uNq+SuIMJF93/8C4N+++QlulM4JdOnS5flLbxtxsTzJCNi8ZFahn+YAJAqo4KALs4B0loFzgslrjDJKwfVlW53FE9fLss74kfUMB6llQooClHff9P7Tthnk04KH0vu2ev7i9Yvnfsrbn3n4S979UoSwlSO4UMj75c92jXN19b5VtOA8cpRhowQTITCFOhtJRQInIwMF/4CD4ghiFJDXdVTgBgzkpHQhHk9V1SJwzl5DiHh7tU6MKaUaeZTK9SlQiQbihcjRQLlmhXvzRKruhU4+izYaz89xoCoaYBWpBBCCQgPi/9viQd0IXCbX4wTUshDGLQI4bn+aARDkQAyAhYDi+wqsAxRFbgldWW7BPxb3B5BTPCkk7RJCMgRG8QNFqS/BQy1OoHovVwp4Uenb1/W2vG64gDXFfi3cf6PMjJR+mM15zgyG82D9XZWB0EqBXaiNR1gwCvGNFV8w5wR4Dv+owjKBiABEg5CWwQHsBngNQTkqacyuJFdQwtfzo+I4cgdJ6TIrwN2ldQXHZkOQXyjHEUMAxOdyiyHIl03xbhNzKQxwDBfKNs0RimSn8RbpokT3LhZ7Z6TDQV26dHn2ErODuhG4RJ5sBGwE0HxdHNYrRgCyj4aAIoyznPGjI4Po3bfhH4kSZuQvED09DemEKRG82tsXBnyEhnEy5KP2tZ6/CE9TzNxpefenPH8NBbU8/jVP/2ZE8Bli076UcJhmkULlAartrI8Tps2RQTzeVMM/OjJwwywqqOCfBBEBEQISl5jZg0IAJyhJSONSPKbSSRlNeEggFQZy+TtxTD+VdEwCwBQz9IBlaEiOOynv/hwyWUNDkvoqVfe6u/BdpHMCF8vVIgFd1i64YK4YZn6SAdD6wHIArpEBFPdDLmUH4k0qyl6/V45p4Z8m7g8UxS6KlENzO6Aw/6T0lyAfoCh9EQ5TgpoWsH2zTY5Rti8o+hNKvpkh9AZkFTCQ7+AkTbOGhwRCstBRVPwbjEKos4xm/AGX5QjpDDkJPhsEX+AggYaIA9j5cq8kvkDgIs0XAFTBQxkOStqVCRmKIYqwjM0c8sIDMMpDYjL0XKpVOIcjKJ+hjEcAvN/mFN5Grt424mMjN4ODWiXrWyQreOX9V2QwEQbhABbI37hMJyMBS/xaz9/i/kBS7DolVJYntV0recMRLCn+rPRFWlHAmoe/kfy9SMnf2jA0Ht4t53kKWT4VNSwZhUxGa6PgfH5vZRCS158L1JJByJyBH/Lvz26IBsDyBWq7TScVTUpE8ZlyBXMXj164AvHCI9mMTCI7Ks8iOUrpnEpcwfbPjQrypWWGY2An19ZUSNxcqMNBl0rnBLp06fLshd5AncC7IjcxAjkt7Ax4eQkCaqWAnsoAAgofUGX8qKhCRwm56nch7TPj/mlbheuHUG9vYf4KHlr0/k9k/gArcE/jQm/2+N8G+GfLOWyMFma+p4WO7L5yDJ1l5FJUIL+JQEUKJrJRAansoIozYAYLrJS2Wb6A2efz0emkPmUPAQkWcgXO15k5whVIiaCXVqb5FOrMocFRnrmXI3Y58JnQkO2mK8cbHMWmdzyPBm4FDXUjcJlc1QhoVfRUDsCSv0BJAZ2ndtaQDyBKvm79oI1CRSgTmvCPxf2BRq6/GAALD6X36TTPTPQqBb8Z8nmK0n8bFP1TZe07aGzf7JcVQ77mxShUcJGGisLUhIoqmMgYhCq9VJS9WgcKMWz5grK9TieFgoeARMRmmLWkixauoCaNdc8in+/2dnVx+ZA5NLSZIwjIhucm7aLXpBPDF8tVewe1loF1g7DEAawVgFlvviJ4VaM3jfNLz5+SAaQ9/+S9W89fFL9W7NM4awVR9fFRNQOzDJ+k5FczfkTxn8D433mlf46s1BmcNApKWEUFsyhBrTcNgiGRs1sza2g35wvEYBBQZxKheM3SmK4QvHUPIj3IoJDGxWDkKCEdNX/7lcKyp2QOAfTkoTbnSTcCl0rnBLp06fL8hdCLxS6Uq42XPFdOcQCtKuDcttl4/rr9wxIcJFBQXfmbPP1pxKzqdyntM0UJFvcn5cnPMP8VvH8r5NNu7nYDj/9t8aae8t2W3uv8PDJYOEQTKsrtKTCPCmaZRMkrd36RL4idFFTbaZ1OCoGHElTkh8wTxLeRSh8F0MocMimkQIGG5DMncIkGgCY0tIUjCMzNwTH3ayDX5VK5SyRgb54tHICGgGrMX+Xzu5L/L8fSy5b8FewfSBBPUBBOmFAVfGl4SNJCZdusOEzh/uPhJOa/RfHfFO45U9HfOsxufte1z7z0+9t6goXPbhkGBur6A2MQqvRSNwHY52NVfAFQ4KGk9DU8lJ+SxA8oBiDzBAAqriDyAw3SWME6epkNPS6GIB73OhzBvZV/zw66XDoc1KVLl+cvnRi+WO5qBJZaQaylgdbEb10FXNo7zOEggYIWM4CmefaP3margiv4ZwP5G3c1cFCL9D3l/d/Y69/04Nx4YtMSJKNlVhXcknOu1QYyeREqAmZRQeWxI0WEwJw01hlAFMe0a3iI5H5IUUE+h5RKWnJ8cDpzSDV3k8E1cLETqW9FA+nAM2hoA1F81jCnzXueJ90IXCZ3MwLncgAWAgKKAbApoRUcpLKBqgygqZH7n1NCF+oCdFqohX+Oh7TawP1PZfxsgX3OVf6XKvs1BX+vh0p/zsL3XsXuW8c5cbzV/RpQ0ZpB0JlEAgfN4SEAwYN2e7DcSxYeAnJepxxXoCK4ocoW0tu8G2aZQzqF1GYKiSEAAGu+tkBDl7WY2LTbk8S5W5mXd1vuGgnYRnD59QYHYL3/uN96AVhNBC+Qv63c/4T/23bQVHEENfGbFcR4bLZ8kH1bXv/VPP4FJd0exWgu+tJ71zIsrm0UWt9ZirBsW4yc2nma2F00DJcW0BlC2X6mJpGzp24LzwDwAOB4qCMDYEYUy3GYQ0wjhVLhjZoCBirSuKSLFu/fFpaJgdgSFYRJefyp1xBQt5h400JEubCuy3nSOYEuXbq8E0JviUF6bnJTI5CdzzD/cXQ2kOYApCuohYDkPbYFdAsCAkoUQJOCfBQENCsAU60f8jbVNO4k/GOhHyC+tgb9XAnymXn+J7z+mbd/BlR0Ldw1es8NKCpI24QFD977+hqr9g75HBc/z5z7uZHBBphI+IKqUZ3sOy7AQyRtRVRzOcQIwWYH6cKyChoCcmTgBRpqVBcXaGiZI5AlqSyuBs8r+EdPKDsl93DSOxx0mTzZCLSuOyVFrW+QpXbQg2sPebcQUNxWICDZtwkBAcUAhJoDsORvtc30B8IY912FfzaQvk9S/g2le47SX1T4WxT8FljpQqGwYEzMtZkZixBU1W/adwlC0p9n1mdGYctvYoyBHCf2GTJ1Hfpzl/gCAw9hGMr9isgVaCIYZt0u588UaMhyBICChtocATVaTEjX3tx91IyqfCuE0OGgC+U+dQILw2AALLaCsBlA5X1zDsB6/0CDAxAD0CKGTctnSrn8JcPjhOe/Ndtni6K5xNuvhqE0jqP2zcdZUfDLJPIJ8tkYnJOziZvXY1d72tZYqG0cpFGNih7CtG4UTKTBDcW+fG6NbZfwBbKviQwI5RrOIgGpKVCfM4sE1PHbHEHaW3EEbDgChOUWEy2iuJrs6UrUcG/bQOhG4FLpnECXLl3eAaG3hqR+bnJTI2BDRTsRLL5Wt4O2rSBadQBLaaA0Heaevun+OYsMgHnu//Gw3O3TVv1eC/c/Bfuc6fnX750fZ2n7zJtferBoDgvN0OGlyEFgN3X76dGahAa3kt+qohqJEux2GxkAhUswUJL+dhdlFS3wBU1ewn6eXR8PkO6kwhXk7VJT0HgvcwBxGWMJDoAPgI9Vy01oyHAErOoIbIuJ6pddG1X5JqXDQRfL1YwAEfJUL0eN0BGoagH0SEhbF7DWCqLFAdCUYBuj5G176EViOIzAONY9fwT7T+89lfNft4e4neIHULUtkP1mSr0FAaVtFWmplbzAD1bBNxR+fO95/EDmXGYHCrUB4VC+HwcAQzYSlYHIv5cxDAuQUTUjoHV+1Sk0DMIFEJHlC2yhWQUHOR95AqBwBbLuBlAY23CQc9X3sfAQ/P50+qhuK0HlUyaUQjNHDF7qM7Qg93TOuxG4TDoc1KVLl2cvRD076FK5mRGwP0fVwsEBdi6wnQmw1gpCE8FNCAiYE8GpCRyp7TkSGMcI8YzHtK0x/GVLBKC3r8laBGC8/ybkYyGdludvIgft8TO52rtXy9x6fcnjPzMS4JVIwC6TeU03VivuZYoQDHS0BBnpTKNTJHIzKtgSEcj2jemkM3hIEEoXQAOAMX/V5ewgDha0mRHHM2hopcVESenm1JE0rk0hDq+fpLOFivZl6LxXivi2zUbmcubt2CXJTYwApVtQ3xCE8uwSFCcAUewG99/SCkIqfQ0EBKBUAasKYVLbdQpoNgBbMoCuCP80oR+L9yvFvwT5iNJvwjxqqMnS+rJBoNlr9fc586lbmjeqFH7mZaxhqPYJ+XUGKuiIdH8d9btxcDVU5HzNHwAnDUIzk2jpt2/ASRymTYZAPpNHREMARGNgU0hl3wZfALueW1AvpI8udBzNbaoBxAFmFFtTpwMvQUPdKX8+8iQjEHP5pY8IVMUeg/RdClS1ALoYzDupC0j7pX23toJoev9AMQCm/0/V/sGkgFa1AFuLvk4ZgC2KP+038/q14l/x9sXTZ+25SysC680bpc9EtZJ3c4PQxP4vcbvk65mIQHv9WfmH2gho4piVEbDGgfVrRKA0vxfZIOzSW6fKKLQMwtWig8rwlDqB7FDIfqrIjIdiCOJ7p3kKqZyL9CBS52mjAomIT7WYCMR5LCVRfNVXBqMcO6gVzfe9KekVw5dJ5wS6dOny7IWIOidwoTzZCLQuu6PoIATzmi4II7XchHzMOoBmK4gWBBSX51XAUgQGYD78RcNBjQKwa2D/ZLz5Je+/7NtYh8L4taeuYZ4G3FNBO8bbb0YL+v2t5SSLKaRGqNVegJUnbOEfFTVkD18kBLWNy3F0hADU73O+jijSbyz8QSsqKNk1y1HB2RHBqeIy9XrmBWTbeEA1rEb2dQM4jIsVxHEnqt5nW0yE5OV7wgwqkuIxImpWFOsT15AvqUJPef8tpWcHXSZXjQSqHxwER+U2bNUC5GUD+WiOgFBzAKdaQVR1AFWn0HkV8AwOukb65yn4ZynVU6CfhXVN7mZi1xgBrcRnSn9pX9nHvs+8Pv+eZ5LCesVyA01iuOS8z/gBZ5T8mlHQRLM+lkBF6je3BqFKL7XfIcnZxqCRStpSXVmRazho2Jd7FvtZhTAbvqDarmcWoDYgBFdqehQHsJROmo0Cl2fcsj1WH99DPXcjcJlcr05AL6e7TDKAZC6wriPQxWBOt45OBiBHBoTi3bdaQSgloBXAIgcgit1GAk8lf5cyflqef4vsbXAATcUPxCZiLaWfcd51AzEzEoYTaGYI2eW111qiFXmLG7DYvuEEKuNglfwpo6D3VU0CWWUatQxCnVmkfpswzQzCNSKDVk1BxUOMB9Cwz8s2KsitpTmA2OVrSBRWDYRPmUP5mzj5Lhy5Jsg1jDUEOahzyD2HtMMnclednPRIl/OlcwJdunR59kLokcClclUjoCNKpvp1SQUFGnCQqgVwQBkKDzRx/cU0UFMH0OIAmk3hJAq4QgZQC/45ifsDoGFX7ZuzfcS7s56/8zPPv8L29QhDHSUYTsAet8ockq+vnLyZv6desNOj6meyjhhIPs/sl6EKkwGUh6kAlaff9PZVRliVbaSHA5GrjxvGeVQg+45zjH2JL2hGBBuiAXnPUuZQPm66f1vQ0GpDObNcVRuHsRpVKZ6+J2rXEMhPGTg/54FrBayz/e4j9x8qQ0SfBfATiLHtTzHzF832HwLw9wD8SQCfZ+afU9t+FMDfSqv/JTP/zH3Oei5XaCVdbi+BeGJqWXlkHBKpJDcGlZujRQw7wjrZu5QGGmq+oMkBLBWAtQzA2sO7hP1vgX8acFDsFaPSPGVkYLVe4/ysFD0qgzFX+rP0UYURV0qe7XpZ0bjvxjbyTdHOQnmtPMCOAEI534p+UPBPJo2tUZDroAsCXawTydchGY9q1KMxCDm9FGjCQ3G5zRdUxuBUXYFJIY2ncz40tKjoG8t532mstjs3mJRQQiDhAOyza6eSFYnPfHPTbYRw1+wgIvIAfhLADwP4JoCvENEHzPwrarffAPCXAfw1894/DOA/B/AZxEv/S+m9v3uPc7dyQbJ3ly5durx9Eh3N6/xtkB8A8HVm/gYzHwD8LIDP6R2Y+deZ+f/CnDf/cwD+KTP/TlL8/xTAZ59+BS6Tq8FBzhSOaU/RDoifFYDZdanuBdpVv0uRgfL8Fonga1QBt+AfU/ELoEQBAv8M+zkZPNRwT+XdW+/fq32FHE7bLDxkoSEN7TAqJzN7+wH17xaYKz+vNSx8a0TQeq5qGEjuHar2lyiyvMflTJcyuU7NhdCRgfPVvcNOVdxyAE8aAjJRgRDHALB/AUqtReKhSlSQ4Rm5HvZ7w9xXa/BQCxo6EQ0AGhpKBC9RfC4a78tRglQQJ5I7H5dcVUgWAhdotpEtNFWzi5fl1qRt5ARu+hFWvgvAb6r1bwL4wSe897uudF5ny5OMwCwNTN1pOkeYUjaQHg5js4FyiCmYrmQ2mIrgqkpUDIDGj2Ua2AIHsKkF9AYDsJT6eRL+GfYV7l9h90qxZ6VuFX/eVyl9cmBvjEJaDlxDPMxcKXut6Ms+ZRuAk4ZAv6clpw1A/bre3yVoURsHedblHqOUTO8cZnCROAwZKpLry6GGgLRBCFOswtUtRgZU1cdaAVfppUnJN/kDGHhoAzR0iiMACjRUGaRhqDOh8slQxZvI/sVpGDOcllNHT2QLyVE0dEhE6Zm/E0RzfTjoE0T0VbX+JWb+0jU/4G2Ri42AI2BiRQA1iODizS03hZsTwaGqBaiIvkY/oOqGVt5a9vpPpIHGw5zHAaySv5b4HXYzz3+G+6flrNwBwA9txZ+W83b13kmUuPp6zIyJa4UuhgEor7e2AYBu8lxHCcuX6pS4xj2jW6PpFiPUeE/ZlpqW5W1URQreoURWKcGAlVEgcqpuoDYIYgjye8mpSKE4LTl9VA6L+rxtfQTpYrENUcFWjgDWiRlRtaEuBmGaRQYgV54xFIPgnRjMuO8iUZyOpMrrZsb8HnJlYvi3mPkzK9u/BeB71Pp3p9e2yLcA/Afmvf/snJO7pnROoEuXLu+AXI8P2MgJfAXAp4noU0S0B/B5AB9sPNmfB/Bnieg7iOg7APzZ9NobkZtUDDPHjII6W0hFDcB6NlCrIAxYzgay3UD18jXSQG0UsJIBJKmecVsb/rG4f97m59us9w8gw0Ya8plCje1PYdnz1xlBzMXbb2UGWUbLwj5bI4JF6FC2q9YEen+BEqVzpSMdHcTXJxUZeJfzijARZXzb+X2CihLUEcYYFYiHXHn6yTMW7km2ZRx9zE+OpJPmCECqjeVQ2JA59ASOIH+G6jial1Ub6sXMofTdqu2hZI7ZbKGgo3+9DJvtVf8H5vfAcxZmHonoxxCVtwfw08z8NSL6AoCvMvMHRPSnAfxjAN8B4M8T0d9m5u9j5t8hov8C0ZAAwBeY+XfeyBfBVYnhcqMRQfUXmc8BiJ1DV4jg1PsfAGYzAVRud0nzk3xu2w76iRzAEgGsX9/NyV4aduX9LfhHFL/G9cUAWPjHKH4ghuui+IE55DMZpV+tpx7xliPI18UaAvCTCOGWzAwAAaTU0IwXAFfGoSaNi0PhiDAxq3XkPHZKBsGJAU+/g9x3PI0ZRgKHyAnI9U58Qa4xAMo2SSeVk00GICtkVWnMR8nrT6eAp3ME+XzSZ+XjqnMg9hn2ktoJ4vLdZkZhKtCQJopDSvAoraULPwDVYwioOcB43PlXu6bQ9TmBk8LMXwbwZfPaj6vlryBCPa33/jSAn77pCW6UK0cC8UeQG0N7bNIeAqjrAghoE8HW+0/7zWoBZB4wgGY76GtlAKnsnyb5mxR/RQQPQ5XFI0qe1Xuz52+3CdmrisVEGU8BmLiU70/MySgU71+/ZPIeAAAgAElEQVQMxJLSL0ai/F6WD5DFSVmBYLT/tNEaLM2bBiQzrL5nSCly3YeqJoYTN6WMgnfAlI9btvm0X8lQSwZBZ1FZvkBt0zUGOmqgtH9+kpLyzQp5VAp2t2+SxtfmCHIbaqllOB7iZ6v9qihCvj9QZxWRA2gE5YE08R1iWL3hBADK949E/y29fCtd3SuGL5PeNqJLly7PXnSaeZfz5OkVw+m/vvw6AgAkZKcqTJ+1hTDZQFV6nk4BtbUAYQISD6BHQl6DA2hBQLPcf5MBJJW/8X01xDNL+7Tb3BC9//RenfEj3j8QvfWJy5g/C/lIZBD35cQRpPUE7+QmneprT4HTsZTnr7Ai6/XbqOCU2HRBHR1omsVTSS2UKEFHCDpzSMaTyraJy3E1NDRRyhbS64oz8H5fZRJBp4ymqICoDGYpoLervOecSpqgHx5wMnNoxhEAy9DQlhYTLtbx5s8dUJrjpRoCKOgLTAUWk++UroO0lQAAn+pN5JpafkBNm3wj+H83ApfJjXoHUbUuBWGaB9A5zM0W0I25wbkmwNYC2LTQhlyUBmohINknEb5x3ZC/SZkDyPh/lfapcf+VbZMheycuSngKRfHHbRHyEdhGwz1iELTSF2WftxtFr5X7pPR8MOTAVihIZAYJqYfWq3OIaZ+1gcgpxVTm2BLiNXDmPhPAxTuq4KDACh5KBqEYBWMQyBWCNPEFFh4CVojWBL9Y0rj0+5mTxpugoaUWE419Wp9LADAMJ88/n89Uw0OeHIJK9dZtp6fAlfJ3iiu5dRoigboRuFA6HNSlS5fnLx0OulieNmNYLTuVKWBDQkeUi8Ly+3IVcOrsaCMDNVRkKRtosSAsLc8mgp0bBSxVAaf2DwByFFDI3qEie2cZPhUxXMM/XME/XHn/mviV11ntayGfstz2/MtxS0QRQtknX7KFqEDvv1Vs9ob1/vPrVRRA8KFOKpAATWAjefgnMLwrmUYBnD1QdgIByfcCgiGOJSpgR7GrpiWNDTyUl1VmkaRb1lBPafRWd/9sRwPxOGemj6pNmiTO+6rlLdlCAFI0pIrmEkks15AZZd4FYjWxvl/uWSwWocFuBC6Rp4+XpHJHFC4g/re9gvJvZNpDw3ICtkr4VDbQQj+gp3IAzSpg6f8jcNBg0z4Nzu8bRkG6PzbgnwL5JCNgFH+61Hk7kAyEMgoM4JiswJLS1wrfKnqt3Oc8QPsSrkFDWamrNzsCjq19kBR/vldqeEiMQjwGzYzCDi73sWnxA0nXRYPAyii4kugSkNIhl+Ch8XCyY2eF+4vxABrdP+ccQd733PRRtak6h+Cq5bVsodxWAijcgTx/iR9wMpoy9xKK/yI8ZCC/O1kCImDoRuAiud5kMXUnERIeKJ5/wga1R1/l/rcKwkw/eWCZCF6qBcivLck5aaCGA5DGb6Woa47z87DPqZ/A3CiwGxY9fzEI4tHH5RJpWaJ4VN7+ceKTSl97/7XnXy5PPkZD858TBIyod7bPqnOEo+D4FBWL3icq+uRQzKKC2igcJ8bOF/5AlD5RVOxSGOcQDYL1ZMtyIzJIQgNKLr1EBeItJwNRRQLi4AxDNgTxOKejgnPSR8t6mygGUsqqJYqriWuKwxB+o6qXKO01CK7wfC7ewzInJHD9O4sOuJX0SOBy6ZxAly5dnr9QJ4YvletVDKN4VQCqop6cEioFYapcP8NBS1XBofADbHH+LdlAiye8gQMwEFBeHrR3b3B+A/9E3D8Wkknxl2Csxw3wTx0JlGXx/oHo7Vvv/zite/5rHn9rm8i5aaFLUsEEgTNsM8JkmDiKCEM6qXgv1dCQjgx2njBxWQ8mKpDr4FNUUENA+XSa8NDODvEBYuSqvhcPSCmmNNtX2k1kaGaBIwBW0kdX7utT2UJyXGltAcR01srbN/yAhoNABJpK0Zx3Lp+n8ANyf0gHgXvxAoTS8K7LeXKFyWLxv+4oCsCMkwTyLADI8qSW63bQFQ/AnMvtM/6/0hn0JA+w1A3U7tOCgIBsAE6RvwCi8tfkr99n7B+ISvwU/KPTQPX7rKI/Bm7i/GIcrGJfU/gVRxCsEWhfsnPFDiYPSvNXJDHXhiEbhXQy2iiIAdBGwhqEXNXuokLMkA8XvkDaIVh4SFSyJ5eHs1dYOtqcwGxZbAnaHAGAAtfI4SUldIkjOJMottXEVVporiGgulI61C22JWUUiEaSUPqFBea78QEiPRK4TK7ICRBclRmgZgQAmLWG0NlAIVR1Ak0eAIitIFpE8LktIWAMgBDBO6X0bSSgOIBV8tfv6+wf4QUQDeVoFHtR5G3PX2cHabL3OEXFDxTv3q7L+6zSX8z+2RAJaHlKsdgs04j1fur8XPHkZcdSM1AbhUj+Fv5gx4QQaoMgfEHgSCLL6ETNFwSaRwbwgKS9MSF7P5k0VgVhRK7y5GeksTg8liPQ2P1uX/caslxXS04QxfkcdOtr4QdygodKygDqIrmFbCGgtJQQRkGMwb18814xfLl0TqBLly7PXnqx2OVy5YphHdJjnhLaGBSToSGVtyz1AHGz8fS1R/SEbKC4brOBTCuIFKaT9/UAlxYHIPBAIwV0VBlARx0JBMZ4Av4R3P8YQo4aLAcgUJD1/oEYFVTrKstI9hU5hf9PG5zRNalbpyFnkujPip1A9etIr7ejA8/I3rxEBS5/93lUELi8d2LGTganuOItM83hIYCRZ8srXcOOMLghetQAKLiUQlqnYFbLmu/yHtD76ojC12Pcn5otBADwsfFcjgwSPyBT01jxcZyeTZbnZCFlFABcaikht4zJFH2n2ki/a/Lk8ZKqarxabqWE5gIwkxJq+wORKvrS8M9sRCRQ9jl5sqf7AeVtqRdQsxVEiwPQENCwn6WACkwjSl/zAHnbAvwjiv8YQlaOxyk0yN8CF7UgHwv1LENCy5fwWqRwOeBcM5SWD+UztWHwRAiTGAxGcDSDikTh7LyrDIImjXfeIbBS7D7CQ/G0eAYPAWqsosqHDvFE5imkuQZgP4eGeKjW81UIvhiTEWAXKgMCte/JGgKU50JDnzxNbX4gPVM1JxDqpI2FlFF5XySCk5FN133jgJariG1L0mWbdDioS5cuz146J3C53GSyGMGkhNpZwK2UUDVMntUgb5vx8+RsoIWmcHoiGCWSeKkVRJMIVhAQKyL4GIoXLlFAiQyKRz6GNvyjyd5jCOW4U6i8+tEWiBnIZ6vnf8rbP7dp3JJ402JgJipKkHYQQJ11EgfpzKEi2R44YBAimOK579KBAk/YOYeJ5ZpS/m475yp4CA5AQBm+U1XGqvAXyBFBmfLVgIYE6oQhjnf70n3UhRRRpG1qv7y+Bg2dyhbS26rGdvs604ncesqoQEepkljOMeD+CrkbgcvketlBatmllNBqMExS9oAyCsAsRTT3BlJpoNVyS7bAQS2xbSLURDAZBQlglg00yw5qQEBANACi3GXdpnpqaGhUil4MgEA8OgVUjqPXl7D+WVuIDUr/Wop+TU61mZidlzEKQISMtFGQamPZHlSK6M5FfiCk+2znCBMH7CRHtMpjCWm9KHqdIgpVX6BhoniYFWiIk5J0UnFrOAMOxRERA+DUvT2deZ9rI7G0rbFc8QMqRRRMuddQ/D6cK6elkliGewo8rB3DW+ro3jbicrkJHCTkV8UJ2Glhih9opoSGOSewmhLakpMFYa65LdcC6LGQphWEFIBJlGC9f6B49xr3jx57fOsxlPx9wf9rI2B5gHrZev5bFP+lk8HuKZvPSTSxK9ehakMdOOv2Y0BFIgPCF5TIIDhZplgslqIInUoKJEdebq0AzPx0awhcaeNAyJRAaTEhStUN1YQyuDIzYIkoBhQ/sKWQTNbVMWa9hWxLiaA4AcUDIKimesk4uHwN70sG9+ygy6VzAl26dHknpBuBy+RqFcOVZA6ghI2zyOBESmjVGkLknJTQDZ1Bq2wgXRDWmgimJ37pbSkysBAQULJ/Mu6fooCM86uMnuPEeJyCgnhqTkCiCFm2GT/P3fs/Jfqcfcb8G/mIrlwHR1SlmLb4Ag0PFdRfuAKBiAJ23uXfIg42lnQlqGgAsBxBlT46ouRQAoAPqXhsyO/M32So44ulbCH55K3VxHH9dMoogNxyWqeMCiQk6/m5Nc3lnJqJfQ/pxPDlcrYRaN2EdltW+LY9tOkcqrc1U0KBy1NCW+dnOoNWRLCuBViaCAZkKEjPARi5TgO1HMCY0zxLOicAPI6TSgGN+L8cRyCfVtqnhYPidl5U/E9R+vdKuzvnHFf3NQahvMeQyGkivYaHMj/jobiCQho/DPF+OAbO07UArqqJIzBRQ0NDbiNSuAAgKVEoOAgokCm5eL8GSVMOFT9QEcNnSDWWEiplNNcCqJYSUkms6xoEEkrnaEni/F1Icyy3F0I3ApfKWUZg7RJXNzAAhDCvC6iGw+jlelBMc1aw3pY/47xsoPh/3hSuRQQv9gNyPhqAVBwmTd90BpD13o+qICxwVP4AKk9fDIAlgkvUsOz561nDIpco/iWFf+seMIF59tlXMQqBZnUHchcfp1DXGCCooTcSBZTIIH0SACRjoKMQXuQIHADSLSYAFQUPCesvnEFVQ6CIYripbjZnvPtN2UJp22q2EFI0kN7TGkAjDZdmJHEIABUdcFed3COBi6VzAl26dHn20onhy+ViIzCrdtQiXr/hAPTISL2tahJn/196fgvtoTVHMOsMqltDSKO4tK6hIc0BjMlbr9o/GA5AVwG3ICC9nDOLcvfPAjPpqCC+hmpd5Bwvejb83az7haj+KdGBPV8POtmSYut3mlRUUX1O7CdR8QVxIf6T7CH1hrKxWgaAKUNDAMNxzRE4xryOIH5ozBoSz9/CQSGUiJNDlS1ESDUHrsBDq9XE50qOFJzKzHPz5nKtVtPVNvXdVCO9e0g3ApfJ1WYMA5jXAeh1NUNgrS5gbVrYzFBYWWoNLdsaPAAA8EJnUFsLEJfTLOCs9FEp+qPiBIQEthyAKPPXyiBIEZkmf21B2DXgn3OU/mzb7L2bPjKLfBc98jEfSxCIpeYzDVn6zosksuELjgEVcZy/fL69Eh8TUt3CoO+vAg0dVT5kREM42wxiytQEMWIKpSoo4/GQiWEhiuO+Q9VxVPgBTummJ+sHllJGE4y0mDKqO5m2+go16gZkm04GgQvFQNxBOjF8uXQ4qEuXLs9eOjF8uVzPCGiIR0hhQ/5aeAiYF4fF96+Es1sHxcxSQt2MKM6T0DL8U/bVkYFuG8FuwDGU9g65+6d4/0G3fmgTwa8bxLBt/dAuCENelvdskTXvv+X5V0Pf1Vv1Q3YNOEic2vhaOdeJeTUykNdaEYWVNdJYZw8BlKE5yRzSu6ajxX8mIsjRgDqWy0tqUloijfOEMqRCMkmzrOAUH5cVPBSj2dIULnvsS91Gt6aMzraZTKGlecTsMpSVEzwsBCzN5tqf1uUtkNtEApYTCHOOYK0uYDUj6AzRKaHRAOjaAAX3pJRQCV/tyEhW0FAe/pKVNc8ygpY7gfJsXfMHxxBWM4DOgX9OKf5qXQ1pidupes+SUQCgMmrWJRglGRjYCfpiUl1r49AwCsYg6PM7ZRBm8JCz6rNkDmVMp0oBBRzVHIGnkHsSTcwg1vurbH+fICFWNQReK9Vhxg/YamIZvlRxAmn54pRRvY5GppCpG6icOQ3/tDKHVJfRm0qHgy6WpxuBhbTPU+trdQGL8oSUUOkNJNPDWM+JdUOMCrwhgtW6ngEwGdy/IoN1ncAUmmmgk/LkSw1BaLZ+uAT/r5V2UuSurFulrpW+3aaVvG7T3PqsNZlcfc46yhlAavIZYefqCMgp7D6egyLIGwZhS2SQ+xOZ1hNRKH2gShH1ZZej2eansh5jgMIJOI68AJBgcnCJElpEseYHhBwG4jNErky/A3JzObjpSSmjMzEksa0bmPEA0OmiYq1DvAaq7uGWQqC71bS8a9I5gS5durwTcu+Zxu+K3M4IVF4Cz9ZnbSEW2kM8FQqyHEHmAXQKKLlZVXDFA6xkA61yAqkVxFoaaG4PnaKAsp4uxcYIoOX9AwX62eL9i+ev16v3OUqzZOefs0Xq71JDRFNuAhe/p8vfP3r+OlVWwAWJCtYyitYyiKpupaqwLLg0cSyfn00RtemjyOsxSinztR04Z1hKVLCYLWT5Aa/W3RC9bSnGsvyAhofOfGYsJASvvXmvntG6eKyCdW37l7T9XhlCBFT3Zpftcl1iWPcKAsrNI1CQriiu3mo6hW6VlWlhdt22huCKA5i3h27xAHF5rvT19qoddAhV1a8YAJ0GqjmACAmV0w8KZlqTorRr6Ede0zCOd4Sdc3m9pfQFAvJkjEQFDZXjbxFrAIBiBCruIxkHaxQyXORQGc4KbXZFoctnrpHH9rU8pyAAQMijJxE4Kvfq1lRwEDGOSTlH4+WU4qdcRBubUxeiWPiBqq2E5Qek7TSHbAgAtFtKGIinMgonppBpYT1lLLiqzUQ6YDknzfs59YwvPOs3EwNddtku9yGGzfqsOKwRBZxsD7EgswZxC60hqmwgnwyC6R1keYC43DAKrFpCq1nA0g5aRwKtDKB8nDMNgPX+W7i/eP2i4KSvvjfr8XhzpS+vyefJ5bSG55TYiCYE7f1zZRgmNzcKRyrX26Xf6ZiiAB01TMyVMdCZRFuziBzF4rUyrCZlDs3qCAAgJIOoI4EAn+6tTBRDRQICkyd+ILeVcAPykGG5H6V1iThSNlsIgLScZj2nYOszs1A3EE8oRQEnisdkuTIKdl2+040kRgLdCFwinRPo0qXLOyGdE7hMrmsElNUn7QFobgAlLTQv40wYSEkzIwjIUJCEsgIF2dYQQEkRrVJCGzxAXOYKxplC/NMtoTP8k6KCoL1cLq0ibB2A/r8F/19K+9w5mmH+MmbRE1Xe/87Vnn+9Lri7eKoF685wh3ruSPmRbDLDg+rKyRwx4wKFqbTaUKqn8zVzDKfWJSpwLkZWOlvIBeSGfXB19pCWU/CQm003q+sIcvRBlCI/gYPkOpdsIcsPFE6AUnQgh3WlO23KFKq6crp6PUe9UknsVHS9lCl0hvCUIgyJEhoVxBXPtwL53lreBCdARJ8F8BOIKVE/xcxfNNtfAPjvAXw/gN8G8JeY+deJ6I8C+FcAfjXt+r8y81+913lbuVqKqO0SWvUKSq/dIi1Uy7wuoHACGQrKiv90SigbHgAoSl8bhTFwsx+QtI2oOoNyewKY1AGcQ/5a+Mfi/nEbsPOFA9h5Vyn6nVdQkY+vS847IZXjK2hJO1sOAC16X/XrzKxT7cGMlIsfr4N8bUY0qDtVhxGYUxomKoNwnAI8kTKqBJ3QL6RyXObN8FB+fZY+WriGbGgSSSxGNZ6Ly+friGf8gC0k8/l+UBPJJEXUpozqtGZ53hJJbPsKNRX/iXnEM1krHnO+ThcVXgCS/BGQCZFbE8SKy7qHEJEH8JMAfhjANwF8hYg+YOZfUbv9FQC/y8x/nIg+D+DvAvhLaduvMfOfutsJr8h9m3536dKlyw2EEJ2ha/1tkB8A8HVm/gYzHwD8LIDPmX0+B+Bn0vLPAfgztOw1vTG5HTGs/q9lBs2GyJ9RITybDQxU0NCsSZxUBsc310NkVMqopIRmsrIFB+mq4BByxorNBtKkscwEWGsFsSStKKAibJPHL+sC/4jXv8vrDjuvIgWHvDw4qjx/72pvX0cCDlRHBSu3dvz+lL39gOj5y3VhLv57JGRd3nfnIrku1cXHELKX7SlGCpkoDgzAZe8/euUme8hkDq1FXlXqqSomcypDVMjoDBU1soUsSazhIK/urZwyCgBuANEIDVmSun91VNBsLteAhIDTsFAzXTSoiKPeeZ78obfdWa4MB32CiL6q1r/EzF9S698F4DfV+jcB/KA5Rt6HmUci+j0A35m2fYqIfhnAtwH8LWb+51c9+zPkaUZg7YcO9Q3SHBwDoDU5bFVOdApdqwuIil8wk0bX0PRQCVafM4CCWQ4lj1+qgst4yTIiMjCqbCBpB31OK4il6l+dxSOQzk5w/gb8IwYiLlOl+AVW8hSzgUh9joaZSJ0DUTIKy79GJQyt9CMsI982Z/UAmCgahdyZ2QFD8Ln2wqmsHRcIjkrdRczUoUoh5+srt5jJHFpKIV1rMXFUt72kjuZ9QzQALt2Hx4ln/IA0WCYSoxePRQx4FsOealdUyqhAQvG9ThmIgFbdQLO7KNCGhBYkTx5DShdttZGIG6v+YJxeu5foe/NK8lvM/JlrHlDJ/wvgk8z820T0/QD+CRF9HzN/+0aftyrXiwT0JLFWiiiA1VbQW2cHA3XesmkSp/dp1gVoMlhFAtIiGogPJjMqYrh4sYUHAAqub3kAoEQCmgg+pxXEKQ5AvHsxAFbRx+Xa838xuKbiByKX4KneFiOD8rklEojGoiaGa9HfKCiOJaAYgnJ9kzJ2jCkooxCiYZBzGoLHLinj12NMz7SRAVQhlyjsnUed2ulOcwRrLSaE6JbUUW14nCuGyFMZWzmGyA/4dKXE2IkD76kYPykiI5UymqMBWZciMw513QCOgCvEMQOlhkcRvZW02khIsZjZr2ojsVBD8CbqBO7cO+hbAL5HrX93eq21zzeJaADwhwD8NscH4TUAMPMvEdGvAfg3AHwVb0A6J9ClS5dnL2+AE/gKgE8T0aeIaA/g8wA+MPt8AOBH0/JfBPALzMxE9EcSsQwi+mMAPg3gG9e4DpfI3eoEZpBPa4Ywzkxla6aGlmUmMt6+TicdZsViVeFWVcVaZwcxFy/+OHHOYInroeILbDaQlVMFYRYCApCjAJsBJHDQi8HNogKZhOVIeIL01R1hUMVi3mxzKB5WlYbHAeCpuPtrnl/OaCm/xcQAJ494ClxxApNTUZijqinfpHgJ7zwexzk8lMe8qTnBOXOoEQ3E7cu/g4aG9Gvpy6TfuMBKMWsp8RQqhdUTg7lMUZOU0ZIdpNJFmTIkBKBkCrkxrZfMnBglaIzK15zApDN8TnvoOSU0HSd/U+cXPf9ZYZhpGqk7ir4LkjD+HwPw84gpoj/NzF8joi8A+CozfwDg7wP4H4jo6wB+B9FQAMAPAfgCER0Rb9C/ysy/c/9vEeUmdQKU8MGqi+hsetiZaaFAkw/IUBAaNQO2Ctj2C1LQkO4PJFCQhOYao26lhMYHXyl+O2vAEMFbawGWqoDFAGjc/8XgKk7gQYyAJ+y9K3CKqQUYXFHynuoaA09C6kue+FiUiE0DPmEErEEeXPktBldI+slR5E5Irnc8j1Fh96KPx8B4OfiMuQssJOJCWT9O0gZCrInsZNJBscFYN4jiYoh07UB8XeBBnwyCThnVxLALxchOQhIL+WvuXwphdm/PKogFAvINCOjCWQOZF0jrs5oBuT9WqLtbyb3rBJj5ywC+bF77cbX8COBHGu/7RwD+0c1PcKNcr5X0yuskJOCSct/gneRjnWoXvVQcRi7uZx8cAHBDhVnnNs6K0K0yWariJp61h9azgHUbfUsEt2RpDoDlAHQ2kBiAh0G8/2gUAJX7L0bARyMwGMUPpKiAAITobdI0AtOYe9hDjQWd9YNa+w1dxLJtNhYpYp68NFEbMPghGyIxCGLExoCKlzgCGScvHjfKzkPxPo9TUDURqKKCSTEYm7KGktFwvkR8QCSNneOq7bSXlhepHYbwH4Hj98uRjSbEOUYvuW5AMoV0VBXqzKGbFI8t8AJAIorlNcsFSDKIft8N20oTNsM4XYz0thFdunR5/nJ/YvidkduMl2xkCNQN4ZTXmL2KFc/kzLRQQPEBukJYr0unUADSIsLWBdiMIAAZCtKTxIKKFMapbnusuQWRJS+zlQ1UtXkWLzZlAmVvP0UBOgOoZAdRhoCA6BjvfIkEduL9A0AYQceDigSO8bW0jhBKVGAywGgFDpJMrDqzpeZncv2G3wFuwDDE4SkSFcj11mmpsVaBCwWQXoUMWxlQ+IEcEcT1Y4Zwkle+oYZAZwuJzEZlungP6JTRKaeWcoaEAORMoZzFynN+wKdrxH6I3nVQ1zCn65r050YF8SXpohymzAvEL+5nkQGr6uEmKpBrDNoffy2JxPBtP+NdlbvME6jaRcjmC3sFadF8gH0tQ0Fa8ZhiMdkmLSK08mbGjAwGChQkuH/hBCRFtG4PfU5BGDAngm2+v16WdTEAGgLarxkBV7aTKH4gKvzpCJrSukBBYhTCmJdzuD8pyGFBSrquJMRHKCjj24qkJz+A/b58TjIIPhnsA5QRoFKvAEAVrwl2hHKHj2ZkZGr3IL+bI4XzB9s3aC62kCz3Rkptp8txXeEEqO6QKiSx1A14onzveBIuStUN6GKxMNZGVRlZ8r5MHUuSn4sL53MAaPcSyhvFGSgc0em7/brSu4heJh0O6tKly7OXGxSLfWzkNkagRRI2IKD2e08UiZ0YHKN2nhNpVcisoCEI5IO8PnFJW2TVE1PSQTUxHD3+dPonCsDWoCCbDVRn6tTFYHUaqKsgoL3Xnj9V63uf4J/k7dN4AI2v4/J0iN7/dCzroRDDfDyAx2P6ohOCngVxCs5zajhJmvfsZN6z84Uk9nvAj5koZr+PXmaCh174fb4mh4mx/twXaGiSW0OljwYOuYkdsNx9dK2a2O4j3UeDIn9ztpiTwsK4vvPx3pKZYBNzLiSbOCbY5E9OiQ2czotcSRdFMPc66vkCJwfOWDk1f1gVZZbfPU0+0/ves2BMJQ90OU9u1kq64gjWbrQzegXNZGlwDFBzAbJu2kdLtkoIBQICJIsH1bqGe3RdgO0lpDOJtqSELoWwsXJXtXfwGhqiKg1UDICGgGTZGoEBISr+4+v05Q6g42O8RAIFCRw0juDDI8Io60dwho5Cnerb+B0tV6PXabcHhl3cb9iD9g9p+QDy+6j8AcCPCQtPhmgXMORtrjICbUy41gz6t4j9lQo81DLkwHo1cXxDgZICU4aEZD+njqvrBvA5uvMAACAASURBVI5TAMHlbKbApT7CU7yX5P5gN+dV9D1O8lpab7aRAJa5gQVZ7SUUJgDpN+Q330q6RwKXyW0byGmxE8S2yonagPnGouSbbSLUQ1TSPjn1tkkPMhisFLtEBkDhBFp1ASJbRkLOvibVTeGECM6Kv2oLIf2AdN1A7f0PyvPfO4JPILF4/jRGxQ8bCRwP4EPcxofH6P0fZN8jWAzCNIHH4zLhD2DWxiMpfXgPGpQR2D+A0mfQ/iH+7cTLlUigcBEY4ucMwz5HEPkU1KWv9DQTJiaEdE4xMih9nuK1LstbC8msxMlnijgOjJDWxQBoQ6TvLc+5iiE6IaDSakOKxyzHBU0Mq/UFWawZuNARa04kixvm/29aLEadE7hQOifQpUuXZy89ErhcrpsiqkSqhgFE7Fjv2gpJt3oiG6aHlZNw0K0KYphc0hJ1ap5uF83JI8vtHgJnJ3cyxWLSKrpMBlOQQ6j3tdIqDCttnOsBLzIRDBA4KFYCy7aZ9y/8QIoCMuSTogBK2H5cjpFAeP0qev+vPozXYTzG9dcpMhgPQHofhylGBpL5NS1HeeRTIZN4/i4uU8L56cVDgYNevwK9fD+vuxcvwRyyR2xTkf3uAXvXvo01V7P3Lv1WgrkTQijXV/MD+XffUEDWGkATVHM83SHV5XsnvSXBkKK8AjBLF83FY0BKpU1tIwKpATOlcCxd4PYgeqAUjm2JyhvVw5IhFM9hAiU4iKWZ3JtqJ905gYvlfr2DTrWKWJEKW177DK1UG60KdMgc4Z+4KVZx6jTQdlookPK+NREczLjJM6EgnRKq2zY7oiYPAEQ46GHw+abfpbTPbCTUshiADPmMj6CjgoMOjwiPSekfHhFefVjgoNeP0QgkCIhfPyIcoxIKU0A4jln5nzYCDm4XbzeXlulFUvyHx2IEXjyAxiPcy/fj54xH0MP7qgXJw+z4fveQvvdQ/Y7MpQqcATwMvhhzX/+ug6ecjin1A+GMlFEtE3OuG3DE1SjKqUEU5w6qqm2EfA9tTJiQ72eaQUNUwUB8yitOz9JZ1cMimTh2y8bkEuj3CdIjgcvlRr2DzAOzki10ESm8MEIyvVj+N1oVyPZgFERghuQ2RI6gZATZZnKaA7BN4gCcrAtoYZd6ji+gh8HUPAAQiWBHyJ7/4AmDK/VQe08YErpsOQA6vgYdPwJev4rn+Phh8fxTFBA0J/D6EeNjNALhOCIcohGY0jLrRoALQt6DnIPbx9vN7wa4/QCXjjs87EFjyVZyx0OOHul4AIUJTtZfNO6l9JsOOwd4V0dlKF52YM61FBMzgnM5ayhwyNc3MCFMxUOfVB6/vNeKrhuQVhLyup6vrIvHxAjJ0RhcFSgKLwBIHQvlxnSW77JGAUB5LrYWji1IhfuvjaF8w9JtwGXSA6guXbp0+RjLTSuGF73DLV7D2jD5hddONoxr1AYA4nFh5oXlyt+qpYRJCVVQkGzXsgYP6bqAPCIyj32sM36EBwBKJ9AK/tFpoATlWb/OEBCAHAVkCOjVhwgf/X9x+fUj+PFDhBQZjI8HTI+HEgkcRoRj5ARyJCBw0Er4Ty7BQToS2O3y+vSwh3+QqOARePl+7JIJRGgI5bdyaGSiKGx8GB7ydWCUPHuBV+Tn2HnKGUMAEFxZ3rHDFKb8ScEMoLFi6waqiWWNdFE9TEd4ASDVGOjzhYoo5LuYupf8/VcayrWqhzd3FbUSppgmCsSTz/vvar4GuHu6qJvfGV02yJONwFrPmEqugRGudA2NJ9MIbFr1Aul0NHasSUSLx2oISPiAa6SFAjWO6V3hADwRnGr5HOGgRAS71PufilGQeoB4MqUOQEjgzAEkA8AfRsWv4aDw+CHCRx/h+FHcd3oVDcD4GI81PR4yJzAlKEhzAtYQkODOiROQdb8f4HYD/EMkhsNhxJBgpnAcsZtChn9cmGKDB5nhjBK+ZgiEHuUDweSwT3UENbkf2zYUHsUhOOAoaaGO4CUllBjeRUhIfqMJ5/2+unhMRNJFCzE8byOheSldqyL3qObFqt5BVshB2qQ2C8ecUuRnijh3tAQNAXc3AIQOB10qPUW0S5cu74T0BnKXyV2NwCXwUFURvHRckxWUXzPpokyu8ucKgchVJonAQ7ZADCgRQE38lWNuqRDWGUEiuTjMZPjkGQIOagYApYlgcsy4v3T7pFFX/R5iFJDIXvH8BQ4KH34b/PhRPN+PPsLxw0ccP0yRwOPrDAkBER7SxPB0KJGAeM15kIn6zZwnkHfw+xQJJGJ4OBbvX2AmnzKOdrkqVXUuBeCcK9CQ82lOgaRUDaDR599954YMtQwupoVKl87BAUeHfH1jIVlZjlPKSvTnHXCqlUSWRA4DdcpwbiVhsoN0UWJVwFilmgIAVW0kaHZ/15HByQyheBHXM4TWhswomVUWlw2nz+EaQj0SuFSuZgSqjKA8Zeh0h8mzxd6QrX5Badl2EW1VCYsE1L2CAMxqA+JyO+//nBRCLbYuILeOTutOwUFeKf1B9RWSdtDSDZTG16Yu4PWMA8gZQY8fYfooGoHDt5MR+ChmDgkcVIzAEdMh/pbTcUpGIF2rqSyLkBgw70CelBEY4fc+GxR/KFlHYgTEuOyReuik31nDQew8nPfzVgqSLbQfMj8wMTAonse7eE2PeRBNMcA+xGuv6wbO/X31AHstto2E8AIi+d4DpWw1xW+oTKNW9XCrpQSA9Iwc6/UrdPG1QsxZ6V/2NDzhs0GdE7hQrhoJbOYHnvo5lhtYKke3D4Na1nixJoWBmhQG5vi/1AYAZWbAJaLbQshy4QQSOazI4NpglJxy7whQbZ5pOlRN4KQIDChpn2IUpo8+wuHb0QiIARhTJHD8MKaHjq/iccfH6P0DwHSYMB2n84zALv5ufu/h9y4blOE4Zq5h18Co90D+rZ3z4FR0xrs9wrBT98MATAewT+0pwpgnc/nAeYYyEAuxBhUJHAPB59z+EpnFdb6IFwAWagYUbhEC51GMunAMKOQwIOmuSux9vcKHxQ9P/IwaO/lkSeMmAeSisTcpPRK4TDon0KVLl3dCOidwmdzPCJhGY5dMEltKD81pgLZ1NBQuKq2kVbZFPp1mJkbt4eupYy3ZMjjGtouebVPefm4lnXFe5fnnDqMqJfRYvP/YDjpxAqkBnKR98qsPYxroR8r7F88/RQF5/cPXOHx4wPgq/lYRDlqKBHglEqCFSCAdSx2nJTqzKGa6pAwv5+F0+wk3gKdduQ7jAUNKQ925mJUj3r5PA99L9hXhKJGW/BbplARIyb/biaH0dgbxfLu8N/bg1NyTVA/bjDV5TXMC+R4PqYuoRMYhwUP5+p0xZObUpLGlL2UkdxW9o3QbcJk860ggwwBrcFCS3DbaPFT6f0XwbqgStu/R790iosz1utPkr+kdRFWLCTVTNUFBovhpOmZiWKqABQ4KySBIGqjmAMQAvP523DY+HnH4/SPGxwQHvRrz8nQIqXWEEMPpv+S8q+8V20Q4OB+Vi987DA9DJpPDVG7D0DAGkmIqy9KDyO328buJERgG0LQv393vMkTm3RAhIUEQQ4TU5Poe1UhISRcdpVLY0WZeoDVr4FT1cCuRIJh7c3aPUrmnCTgBB6mKYc0NXCp63GR+LdUFvSGN0ttGXC43/cnEy+CnEsQLQ2RmojNFbAk9MMsM0g816+WVU7kGKaxv1rp1dPH2naMYvKT9vENVWCa8AACQDIKZCieAMTUaOzzGRnCvCycwPh4wvYqKcnp8nZdjVPAa42NUFIffP+L4YTECx8oITDhOumhufm0yhzEG+EPhN/zRx8ghaTQbBThfrg85h2k3YEp9h8bdgN2L9F2GPXj/kA0c7R9A/gCeUqO6NCMZAPwQZxXnSMAxPJcZM85BEcOo+Jn4G83bSGyR0DAKcp12Dd9VHznek0JOSxZaIYrzu829bvsIVSJzBvTgmGv2+XlD8wSAzglcKs86EujSpUsXkd4D5zK53VCZO3kEq7nQjcwg3TRORNJDddJoq1WEyLldQ7UnaGsD8rJJCZWK4ExpqOMQpfYJco2nBAfliGss2UCJE9CdQXUriNEsHz484PD7MRI4fng0nMCI8RiXX02MQ6gjAfuLlwHq8dz3CSd/GSJ/oDOLrGQ+QZrN7RIEtB9iawmkSODwCE4dSPnwCNrtyxSyMJboyAc4lOvpieDA1bpXnr+G5hAYjlRbZ6cQkYUW01py9XCIGUKDGidpW0uLyNjJMrCRcpqorC9lvlnZVC9wqdy5W+iSECHDpV3OkzcfCSxARFvbR6edy389SUxvwxy/t4+unh+weLor205JC7O0UIEmhvV8ASKq0ke9I4BT+X6YYqGYpIiGKY+ElJRQaQctSl+3gsh1AK9GjK+mwgE81uuvDxNeJYV9CIwjx/8AKmMg56i/097pfQgvzWV0XpQ1wXkHnyaL+d0B037AKG2o9wN8Ot/di0P8bvtkFF48wIUpKn8gXZNkEDhkXiBe33hNteIvBnj+m1gkPc8AuCA9ON9DjXQW3UdIS+tezaCouedLO42NvrErJPI5M4f1bIG3QXp20GXy5o1Aly5dulxBeiBwmTwvI7BWLdySRrisO4eKtJw52zRuTXSriC2ii770a5EMVtlBTheTFSLQUUwJlDYRMTso5HU+lglgMhdYiGGZCTBVcNAxLY8YH4+5OEyI4NcHgYACXqWLceQIBx3MNcrzcjUERoyJCZOq3gUCcCjXROAfcgSnq4v3R7j9IQ+kCQ8vcmFZjAIe6u96PICGF3F7CCo6GkF+yB42geviPFdXa+uGciM4ZwgB235rO19gSeyQGSuzVGa9cSMcBEA9K8d6/QaVwy0hDnevIu6yTW4yVOaWsqWX0JIswT+AfdhaGUD19sV6gbMzhcp/DaFIZlBOdlIVrLlmQPBYTv11xAgkZRiXo0HIE8FSO2i9nltBHAKmQ6jhoGOBgF5NjMf0xcUALMNB5Tr41DkzG4r888Xj+iNAj6WmwO99VY8Qz1n6DB1zi4lwHOGSkQMS/zEeSw+lMJVc9RDgh3I9HRGICidAULfVlCq21W9zjrTSRAGdWkx5fb6P4gCMAdBysUJ17rpVwyJveKgMoRPDl8r9xkveyuM4VSNgDEZLR9uc7DV5AiUQT6eRHqpFF4TpzZrUdEBNvstyVniTanw0gcOUydfpOKbmb6oR3FGMwJT+igIWAhgo3j/QNgI2YirfZX4dPJXCrVcTw4kh2vl8HvH8psb5lhGXHKbizUp/e3td1LKg35Fcj6mfsp4jtMb5SpqoLF/SQkJkyz3Uql3Rr9cn52LX6A31MneTN5Aq2onhy+R5wUFdunTp0hLqxPCl8k4Ygdk0sStIq3300n7nytLN2ooMygCV8j6ilBmUZzpHL5fy+U6lUG88zuEgNRtYICBAvO4SNRxTFHBMX1F7/leJBMTzDox9evMwhXwe+vzkfIPqOBqOY+I8Is7N6Xu7PKQl5DRalmtEKcsoQUFLd0vzt0gvneKIrCx1FAVK1bDe78mSpoxVFcX3kLcAEupyvrwTRmBJZnMGVshg2zLiXqKJYEBXEFNOYxQpxDAARmnfnRQcW1gESTFOUzUGUrdqZtX9U3L3pRWEtM22il8vy7U6NAylKMu9Aw4GHYhGIFXOkuqfcwxVDUFcbk8wi68XgycwWL4OCg6i1Do8G1K5pqZTqP4NNFH8ZBxwo7RaR4jMbsuqLQq9HUrwDVUME3okcKm800bglJyj6+9pGFoyu8ErDiB5vEYZ5l0rJTpVYyHDxKXvzxSqdSFzW60hrIHIBU9yvupUD4FTnQDUcQi6biC/35yDrNdGbJp9L7kO8bun+glWIy/lemme5Q0rjYm52TqiJW/49nsW0jmBy6QT6l26dHn2IpHAtf42fSbRZ4noV4no60T0NxrbXxDRP0jb/zci+qNq299Mr/8qEf25K12Gi+RZG4FWa+k1uVNEf3PZco8KPr5U1s9Bwypc/YlMzLNWEGXbHBsPC8t6/xaeHlBPbGudjz7f+QECTrYnT0J4N7Djc+9l8v7s5+UaQsz11MFbftYV/05+FpEH8JMA/kMA3wvgPyKi7zW7/RUAv8vMfxzAfw3g76b3fi+AzwP4PgCfBfDfpONdLEQ0EdEXSYVDRPR/bHnvszYC77rcA+VtKdYQ6tbZGhZaU+St11qvrx2rRcJfPae9IW8Jot7lYqHc+uMafxvkBwB8nZm/wcwHAD8L4HNmn88B+Jm0/HMA/kxS0p8D8LPM/JqZ/28AX0/He4p8DVGf/89E9IfTa5u+SDcCXbp0ef5C0kTuOn8b5LsA/KZa/2Z6rbkPM48Afg/Ad25877kyMvNfB/BTAP45EX0/NtYUfqyJ4bdduO4afxOhRkqtM6BoNdGM2veVQ6uLaFskPbRZlNUAZFvn2KWLlhvATp8goq+q9S8x85eu+QFXFgIAZv4HRPQ1AP8jgE9ueeOzNgI8TZtG3Ym86WyQa8mWW/1UF1atWHPfnjQGUkTaLbdEBt1rOEcbAvupsn9LdJtsex6lp9CKIVCjJ0/J0rXjZ9bZ5tx7+WYV+6c+954ZO9dNT/0tZv7MyvZvAfgetf7d6bXWPt+kWKDyhwD89sb3niv/iSww878kon8fc3iqKR9rF+uM0C+Pe3xTMoPKdbtglwqDnFd/pXBOxjPGPw9yZd2l1s3lr6yL4pbvXi9TahEd/2TfXfrz6m/vaPa++XFTv56Fc8rn71wmOfXYSQDIU+fSH0vxoGu3Vn7TiQLn3E89+/G0UCoOvMbfBvkKgE8T0aeIaI9I9H5g9vkAwI+m5b8I4Bc4DoT4AMDnU/bQpwB8GsD/ftF3JvrrAMDMv0REPyKvM/PvAfg3txzjY20EunTp0uUSSRj/jwH4eQD/CsA/ZOavEdEXiOgvpN3+PoDvJKKvA/jPAPyN9N6vAfiHAH4FwP8E4D9l5ktDtc+r5b9ptn12ywGeNRx0SqRKFEAKFRUEYjwrHV7f0+O3bYTLAPs4lFxPkpKl3PAudxWNXm5OAVRzmMkVrzmuO9jB7RYOcrvUxvkg3n48rC7qEpFKYF0MJqK5BIkY4r71uo6y3M7N4KDZ+VYRjlfQV4yA5DpwNWSI6muXzpHz9a6vffy+p9uGXFv0vWchn9ltqTzWe6VhnpQ30awOAMB3r1Zm5i8D+LJ57cfV8iOAH7HvS9v+DoC/c4XToIXl1npT3gkjUPWHkXTCJ6ZE66lea20DLukouaRTmi2s039m3e2UC8SBqOyIXDEKrihGGnbAsMv9+N0+jmsURer3rvTu33n4nYfz0SnZ+TgSMlf2urkREGmle54yAru0fe/KEPo4VSyehz4/OV85fwDxOw27+B3V9844NLm6rxS5PNw+cLqm7a9zsp34ObKWcihjRU/td5YE6SV15xYOb3rK2NtiCO8rvLDcWm/K3YwAeb+pmOdsWbrRVUsFANkotJ6z0pjt9Mc9lVwOqte87i0vooezVP3kwWBO7wNqjNuOE9QzF5Kn7Lwo+iH+JUUa19Mox71Pf2nfo8fLEAfCyLlNC46ebgkBtMZL1kZgR2X9ZZohEM/B5fOI5+cb55uMgI+98WEjoMa4UVmW0SbRAJQLzKY9hhVtFJ7a6G3LPVTmHrRfr0S3xmjJm+jnc++IgO8fCbwl8u8Q0bcRFcnLtIy0/rDlAO9EJNClS5cud4983gJh5ieHX9c1Anew/hwmUNj4vc1NYZ0o7WVVA1xW2gjLdkdtrzFO0druKZaRhfWxQoixXG4UqjBrTtj84IqXy86DXPw5adiBdvu0vJ/DQbt6vfbCHYaHNMoxtW0oQ+HL9dQZPfE6SLTA+TrofXUksCPCS094maKTYefzZw4PQw1R7X06Z4GAdg04KH3X3T5CQ+k6sI4KnMPEelhLjLTy9UXdYWPi+rc5R5Y4pdiXZhnzj6+pVNnqnqv3uzgg3dhe42x501AQ8HGNBJ4szysSCFOd9x4mbP4KHABymRpeMgAiMvMXiBOwjiuH9g5A0BDPuoiidAHYufKabtcwOcYUGMEVQrMQwwwGgUXpuyGmiTpRjlHxA8hKkl7EyNA9HqLif4iKcziW/vwyVSzkfj11L6E4Ezjka6KLx3RH0Hj91PWhOQfw0ju8SMZneBiwe5mMwMsBw8NOGYUdhod9Pl9tEOjFQzZy+bvu9gjpOkR4SAzCEBW9GFIIGZyuf6jnRwS1brdvkdyO+oRf5GneTlyLNQTV4bTSO6UAreK/c+9/vrmD+LGFg54sz8sIdOnSpUtLGN0IXChv3gg43/RKJGQl2WdNGjNliRPtp26MUyG1bPcrzN1TBowEZvgZERyPNaCGU2KKqOqsyUDQBG3gDAex84AbMhzEzheIZP8QPebDY/ychz2mh301ncun5SHNGw5TOo7q6y/iU0j0amL4wNm7n5gW20ZIYZgmgisI6GUNBw0vPYYUGfgUBQwPL/L5Dw8F6qIXD6D9Q16XaxGvwxDXAYBc8ublt4hZVvZ669/A/kZankIOt1pjiMi9t+lezXmuasKcrOt5E6fkFES08Py9ia6ky8KLHXO7rMvtjMCdsgOqWgArjXBZOq2SepdDbI9QOkkynCuD0HW66BExu0fDNKcUgsbJp1CeKW1LZMxgUUR1hlBQx+GkcPP4QD8ASuGRG4piPDxGQyDr4wH+4YAhG4FjZRC4kRrj/Jg+h0CPSUkdJuwnRmvgjIge3O6ppIH6va8hoIcBu/cjpLP/Azvs3y+KXpS+rPuHAm3J98r8x/6hug5wA+CTQUiZQXKK0iZbrxcDwRmey7+P+mpTxR2cNgb5OjgyXAmleyudrnpkCASHeG+W18r9G7/UNjho9Rl5qrxFfZ0+jsTwNeQ2RkCUkyriYRyV9jvzxxIvxftqdCKwq/dTc3ZZe0VyWmpXGd+YdkoPF8/2s+KJMJpH6txaAT1zthQoUUUOR1y6OHtTACbxuh3HdSd1AQPgd9EYAGC/Bw2HuG3/AHr9qijO8YDh4THPHPbHET4t72SOrzEEpX8PwaXlaecxTCGPosyTwJK21N6u8w5u50qaaiKfB2UE9n9gl5Z32L3/Arv34/n6l3v4hxfwL4tRyAbtxUMkwdM6hgHs90Xx+13mSSR6ykYrxL/MswRVuMc1X2CLyM6RVpLBWjFiVflTkch1i+PqCOZep7V0STtj4trcwBsrFkOHgy6UNw8HdenSpctTRad6dTlLnrUR4DCl/qmni2SEI2hlBbUKc7zyvHSmEAJXqX6OCoyg3wuchgomZrh0ijuHCoKYXPRaj8nDduQKdBEIk4ueLQAMAgf5fTqBEeQVJ/DyfdAYwXx3PAAv38euGjTfvn5OVfHKuqSTTocJ03HK8JGkk2qh/P7YBqJUAfsUDSTv/6XH/v14vhIFDCkS2L33Erv3H7B7L2U3vXwfbq/goJfvl0jA76P3L9fBDZkfmKY0xEacZq6vr55s9pTMoJaX7/L9RXWqcYKH7GB7/Z61e5ROwUHqtaumhbY4gtSu442q4R4JXCT3MwLOA9LO1hWks3lzhnaLaJ6mWbtg3U6aOBQYKATAl54qLKX0ia6cpd5R/cBpHgAoKY9LnF5OBQy0CBtkRRJEOdbbXKh7CB0DY6eIYV1NPAXgqIjsYdgDQbD7YhBoN4L2D3Av30+XZQKFAJeu+y4sG4F4LFIVxQ5TahY0NwJhxQi4BSOg00LFCEQDsHvvZV7fvf8A99578ZgP74PSd3FiABInIFAQ+2hceNhjTKd0DFzDQVxXCR9DTQxbQwAUA3IKFnJEq6mhOQEh/xeHgsw9OHdaCoJZWqTkvkGqclgbiFYb6cXW0ivGgnQl+glhortDQ50TuEyeZSSQM4ekaGwtErDeUroxHZS3hblR0BlCMSMI1bqX587RJnK4JdIkTi/nvHWOHukxKdad46xYhA/IRiFwjgYAUYZj+pA93IuXCCkSoOMBNB6zEUAI2C+cHzkHtxvgd5Ff8PsjpkN833SMNQVnGQHdo2jvcyTgNfH7cp+9fwDY/8H34N97D+4hKv4qG2j/EL+bFyOQooBcJzBgmjRxXaKniRmjur7BZA7VDeXmv+85kYHcS1VEmUSve0eLSv9kjcCJSEAMxLUjgi0zHO4jvU7gUnl7qP0uXbp06XJ3uVokoMM/aW0MlR20XnN7hqxVDWuPKIXEVZYQh/xWImqmiQJIqaJcerAFVLhtIDQzhACc3VFUVw9HfkF5pipl9BgChhT5TASMgTOccCQFCTWuA3MAiScdpmoCGIUpN1zdA1Xb5mkXO3ZO0qZhfyjVxccxRQJ1RpEMhdeTwGQoTIkE4nF12mdZfpEhIADw770HenivQEDv/Wt5mR7eBw8vwEOsIeDdQ1qPxxo5wjxAjABG5e1PIV5TCwHJcoTc2nUDW2SpI2jVNjulh9rUUACL6aE5Ugjze71VLxP3vU+1MBPdoTJ47QR6JHCJ3BUOyn3e7U24UDAm+5Ler3Vc1QpAp8mxCZktZljIXYCIc0qeIwYB5mFNy6lYrCb7inLRLSSAE4VHgaqagaAU0ZEYLjB8hoOi4pfPmAIwqtYEx8DwKTUSwx4k13MYwcz5u7swIQBwKk2w5NXL5C5lBHY7jLlvz5BTS6fDCFZ8Ak8hGwCRuu9/aQftU+uH3Lri4YWBgwoH4BIHkOEgtYz9A3h4AMT4+T142Oe00ONUfpcx1ATvmFJwBQ46Bs4GIyR+wNYGLBWTAeZe0cPOqL7P4mVW8JC6t0jtQ4kfcOq4sg+AWukDVXp0lSoKrLslFxaKWVmEhe5lFD6+XUSfLM+SE+jSpUsXLYRODF8qTzYCuWr11I7OPT0MDVMpGEvrHFydMTE7QRUZqHVHbjETgwiVF2abyTlClTIq+8TV86ADXTgWG8bF13OGiitwkKSTDsFjIiivNp7TIR3zhd+Dd7aFgBRYhXogvHNq2adJZPEkxgTbSNfO8PAC4RhhvSk1x1k/LwAAIABJREFUnsuRwEoBoEQXTs0E0N1AdYO44WEfs34UEawhIPfwPvAiZg7x8AAedjEaAMC7F4Df4zAVb3+sIJ6S4XMMAccQmmmhQRHI+jc6R5qpoon49Soi0Cmict8BSxlrMGnPtedfiU0PVYkA8f/lz+KmdhFvAhbqbSMukpu2jcjwj93m/OkfTG7SRkpoM00UAIjmU8acUoZqnUxHUZ0hJJlDuY9Lo4WEID7SQkIwcVs9vNZaOjCXdFFiAIRjKEZKICEA8BPn9tU7x5XCkCwSUTveEQbJlR/mmSOEkhEQ1DIPO7BzuSvn7sUjhodH+MdoXoLuOCpGQLJOllIOgTzcvjICqhvoYFpBuJT/L+sVBPTiJXgXoSLevUiGIHECfl/xAMepQDwC94x6m9meobgQUvW28AnrhsAqfM0H6FYRwgcU5yLdW6pfkPwW8ps6dU8SUH5LwwnodYGKln6T5utbjYJ+9tQY0/jBrlb+dzUEvVjsUrnJPAEmqiODVm6xKxHE2WlraX8OLqaJ5vcPM3KsMgoKR3WulOUTOGL78jWyUi1e+iwqkPYIVHgBIKYhnqoZaPXcl4ljk+YEXClm8gS4ZDBejwHe+azQhEQUhXFQJzEM+6anSJIq63zmBHi3R3A+tqJGzLPnYY/di2gE+HVpNxGmkHoNFU5gSYQTcGoimNsNRfEPphWEqmug/UOMCtJ2Hh6ixy/LmgiGw2FijOlUxgCMKioIHK8dIEYhVMVimkSW30TLGkFsW0efKhCTbV49KwQqvBTiPZe3yXFCfX8Dih+wrVKU95+fsQsiAFKc0aK86VRRRucELpTOCXTp0uWdkM4JXCb3mzHsPFigmRXooCVb20pX3RJTtoRNEdU3ivbWYnZQed27UqFrs4OEF8jrjLO6imrJ+wbKkJC8Pk5lHvFxYjgqUcHjCLwc4rU4AtX5V1CRG+B3jVGjKp3XJdguDDu4YQd+9WG8ZPsH8OER/Poxr7tUdMZhAsZjhhZORwI+w0zkfD0RrGoHvataQbgXL5O3L5GA4gCGF+DdAyZK2UAJ8qkhoHgOUwAexynDbccp4DiVDKBx4qo4TKqyq99ooywViAkfYLOD5LfybpmXypBlKw1UMoMMX3AqKyi+9QJuwEJCzX3uzQn07KBL5XpGwOB/TC5rIpIuorJra+h8zpU8cVMKOQzkjqKc2VTTbkKV1sMlo5CJsRGUlIenmHufRyUSqopi72hWM5CJYAICcdVLKGPCrmD+QDtd1EJC+XKkugHdO+ho+AFPhd8YlWGysteGIA+lT4qdKENDlOYQCLzCh8doCPZxX4xH8HjI15rHY/07Wp5HKYJ47NT11ftqIphtB61bQQS/j5i/nJPmAIY9JhpwSNflMHGCgwoEJNf8kJS+Tgmd9Q5SJPJWKCineWYYiGZpoZoTsK2jdZWwQzHenorRAJJrEMb/v73vebmvu+76rH3ufZJBhRpT09CCFSx0KPhSOimGNmoHhTqQDCwhQjLoH6A0paBSq7zSgUPhVVsrqG3BQTNqaF4MtDNTDOJECtJiQtqaGEWE5nnu2cvB3mvttdfe59xzz733eZ/n+90LvnzP73vufc7Za63P57PWrltF9PgBQPmACgLa0zn0DMRjuTmapvzOf1CcAIYT2Gl3bSVdWZiAsAOX7PQRkuizq022k8r4SWZc9OQLx/TFRXoZ1SmAGxxXeuPPzM1EM3uUQkoSa+8gqtpKJAdQ8wOTktG5yM1iz84hHLN2/nAMmRCRUetQLVM4gA55+kbJBDJ2j9MT+Ck7AcGZe7hztgpLti0GQkiDvjgBwwngcMiN4EwriOOHAVk/fkj3nZAco1cDVZmADPozKw+Q1mPuF1R+f7t8jgxesoYkNoP8cWobxpE5h4i0QEz4ADLOpFsglpeb9QW7ihRGqww6Wx/g/7+XMd+tCO5Nt8EJDBs27I2wNZnysGW7izpIlzXC7LSNsKkkdmKTUicQC5REnJUuvmqSY0qnTcdRWzMwhSLlFD7AYrXHrB16mhnHicyE6kkuqtF/pRyiTZCQXMdvTxSKqvi7/ECxfqQl0a1+7BRwOHy41HecpvJ3mh/B8xE0Z2hmegQdH7TZHD89gjMnkH57AzOcqzoNoZpkiPKk8ADqKSFzO2iYCXKsAghT6Qz6mKN7mwnY9aeZVQ30p3NUHkB+l9NcMoO1dtFbKoQr+KcjC5VjJRsAgOMUMBXUVLkoIGeiJosg3xoinprK4KomxvxtqoztQqs6h3qVkHmHtW3MB9Y2YmQCe+0+mcCKJDQtT8vk8NYWEkAz01hTOFa9NFF5gbS7rRko8E/W95teQiIXFQdgieLAdRuJ2UhLPaSwVDfg20wjFFIzXbfg10CA6iDlvk95+4KxgTqOgfAgdQTmxeXpCJqfgDlLQucjKM5gaVF9+BAoL4MjAnOBF844gYQZK1sNhAOi6faprStyG2xpB41wqFpBPBpt/ymi1v5nByAD/XdOsYJ/0jrruuUBqlbSGQpa4wHWtllZqC0sFChIoMQkQy7SZCsXncjUBgDKb1UDvpeLnisQA5Qf2N0qwu+rHIF7/p7TITCGE9hpo4vosGHDhr3Fdt+J5nUi9Al8KiQSx7jcTO4C21I9zI5Ik6gWYdLIaQrAbKK3BAexyvwiuJGLSnR3ZEKMhGPO4yNHlYumRnOF7F2bcEbMSkYRDDE829retCzVxDjF9Jc8yVWKb2dO0EfJBHLQlPcfwwGHXMmLeAJOjxqF0/wEjieN/jnG0piuQ7wvGVOolSMUMgSUMxAzAxhPR43+01c5pCpgC/nMy5mAhYCeYsSfVsVhJZuSZU8GV3+DFbPFYaF6dkQ4kJvlEeEYStbo20RMpmJYICC5PhklkZLCkpV1OubK+kWTyFxg8s52i8dMoWj6/3njSwbf5Du+jXZbieiKIqCSido+QrmFRHEQK+qFXppqJKK2eph4coMU1+txBuY8uIUDJgpgIxEV2SiADBXlhzsA0XACMZJCQgBwMPsQKtFQBRMB65JRUQuJ8gcoDuSp4goAHEJxBEADDSUnkLHwDGzp5DWRdZCaxCGIo4yn9BsprHBqnKoOPGukXFYjsX0uMiSUftOpcADZIQjuP2f4p3QDNXDQnCAznR0sOwCBgP7UwD/fOUVVBMnvu9YaYo0HqL5aDgrs4H2YDBxk+IFjSFDQwcJDaGWhsjwlsiz9ZPMpPbO+NiAv23X2kM9aoHVuJjFgtS6gag3TVQU+VxdRtBLlYZvseiew5PHNdsWCl2oBQtj8B1zkBfJ1fc3Aai8hQ7KF6UHleL5ugEMZFKSAx3ICkg0AKYCXQfUpa/19m+m1SNMTxdWx+Wc7TklC+jR3HAGA2byzkQkPU9DCoYiUFcipB1MUN2WHMOXBeTocQFPJpsjo1CUTWG1iJkahnm6QkkxVcH7rIGYuA7+ux9IKwrZ3OMUUvT9KdD+zEsBAivY1K8hRfzQOo1cPIJ+xZmvtoo950LcD/1JxmCeRq7bSkl3MhYNpOK6FXkHKB/RqA87xAc2XXZB7w8lDOwEge6d51+xgEMN7bUhEhw0b9vpNFFHDLrY7NZDLujc705gpFjvbQmJJIbRQOGahJCsXbZpqcSz4djg0kdQk0WjGahUyMVlBJFJICABm5QRc8Rig7SQsJHROMtpsN2qhshMAIo5BZKvpeygXUV0nqZE+nFtMRGYwA5M2vCMcJBOg3ABPJ69JxUuSGdB0ENRGf0+9qzOZgP9/ztwEkCJ9udIcWaP/dH8S8Zf1AunkVhB2YpisArLrcmxqGCfX4YYHWMsAqiIvIwkVKKhSixH0ebCcgEBBk8k4bVGilYtOZGSh5ve26iz/bC9F+xcViJ1RBnnJaKX4yhneB2YDDtplz9c7KJPDajrr1JRef52WsNNSYslirB2G4Ro4hiRhtBhqnAsuHU/aLoHnExAOCDLzFRHYcAITJUgIKCSxpv8TIXLhAY5TQMyfKe0keri+2BI/oF/REcVq2REAci+GOD6VaRNjCKn6OP8MHzqE5ASkDYYZcKfcF0n3xTxImboHhTJAIDqUymQCvAuy3ygywDJ4gzNhXQZ2+ZrSs6dg9dkpGOz+ZHF+M7DLspWBWg5AICBZ31oVvCYJLV1ky/bjFKrnQxyC/H76+4a2gtheFzEqHERxRtU2osMPRM8BrLX0WLEK5sny3rTcGeCrwK+tE2IfANzNRiaw127nBEIAR8EzQ4coNhF7iG0kIg+Y9vpZ7iWkDeWyA9AhNky1bnmeNbSieEoPpG8jkS6YIiwSJxA0GwDSAOZJYnUKLNpvUQfNGvkB2SFMJWJfUgv16gd6RHG6rIyY6b/j5MniUAbNKWcDU7nmcSLNIg6hdggTMShKxMt5kMq/r2mtkbgRPj+ZUDZLRosDUJ7CDfLMZi7gPFgXBVBsIn876EdGxQkscQCXEsG9/kBALvgyf//ECUDXLc4vWYAMh5IFVAVi8lvLM7lAxPusoIn2Y+zWcCwOlL0MYIEPkPdYAzhrzzboO2MMTmCnjTqBYcOGvQHGKYC81b8rjIg+QkS/TUS/n///swvHfSYf8/tE9Bmz/ctE9N+I6Kv535+/6obO2HWZgImsGwt1JsBEpuy8zgqSEm4rBNTyAnafl4tWbSSsjG4ukT9RUEgo3XpQSAgAYkhRcrrfDGfkjzzmqFuiymMImKUdBTMOE2nEHo1qKB+g0b1OKrPSVmINGkqQU6lVOBSBOaLJOBQeyn+ap4AqK6gwagYCuGpiRhnaSnBQuYWlDqbpfvJvJ7evcJBsZ81hBAqSY0+56Zu8lz34RyWiMbXfLpLRUgfQ4wDs7+utlwVUCiCj+PGS0GMI+hsmOChnmKGuC/B8gs26BArSuows1/WyUGBHm4hLG8ZZNZCZTcwrvpiorg945orhF1Qn8HkA7zPzu0T0+bz+s/YAIvoIgH8A4B2kPOb3iOgLzPztfMhPM/NXnuNm79tF1OCFtPRACI6/o5fQJrmoLx6TFJrcVJQ2vabQrRtI3yX1ClIHQYxjCGZu4Iij7MxwUJSBk6ipHdhaSNaFhqwjADmCODuEyDhOLTz0JFNVTvWyhTZOsXYKds5bgLPGfRsgZAf6tI5qgNaxDaWlA4Dc858rQncJ/hHydzbE8RoHsEUKChQiWAfrUHB8aRVt4SBxBGk9VHyBxf19u2ghgwEUKMiJF3rFYto2emke4Qtkoau9gtqD63f9g2wj/bIkoj8F4BN5+VcBfBnOCQD4GwB+m5n/FwAQ0W8D+AkA//55brHYkIgOGzbs9Rvf3Al8lIhsJP4eM7+38dyPMfM38vIfAfhY55jvA/A/zPrX8jaxXyGiGcB/APCLzGcilivsZsViVbSvyoBMIuZtqjKIRiIqWcAlDeXWJqGXZTf/MPGUsgCBgJgTBCT3JpBQXp+mB8wmYpNIn8FacAX0JaMFlhGSWKKiqAVkKL9M/i6G+EU/Sm2goXz8DEYMZjKb/FlAimAtPCRtLUTGapvhPcUkZ5SoOwQvjbRz3ubbpvo+5Qg/r5XNfphTxG/n8tWIPdbRfpTJX8x6KSSr4Z8U7XOlCLL1dFuzgN5EMRaqCZXsMygZbNdFEeQloQIJye85UZlXeCKU4jCBgqJZZ64KHNcqhBehkd5AubVhXCaFbZVwpf4xEHCCf8OzZgQ3biX9TWZ+Z2knEX0JwPd2dv18dU/MTESXDuA/zcxfJ6I/g+QEPg3g31x4jc12t1bSTKajp+sr0tQMXNFLqAsJAejOOmYhoHgqyqEME6kTm0/aSiLddxmfFQ4yklFGaTVtB5cYAoACbchUlFYtZB3BjHogv6S1sYWHnmIZdAMxYjAS1rw8CRdhK1oj8OSqoSeqNfE6w5qpcq2tf89+AJbBXvaJGkgGfSsf9QN/dJ0/PfxziQLImv9O1fc2ih8/ZaRVW4kD8DxAWm7hIG0PASRI0klCqzoBt362QviaKSSBfq+gXm0ADD/wlrSSZuZPLu0joj8moo8z8zeI6OMA/qRz2NdRICMA+H4k2AjM/PX8//8lon8H4IfxapyAWE8i6hrKIRq5aDB4ppBQ+VJs+YItPIHMOgaTDeRzNRvI9ySkm5LE7oWbZDarQIpnM1LPGXkRhB8Q3P+YB34AuflbMG0cpEAur07BtH4gxFAiVxmA1gaupcwgNZ4rPETkErFHJhw56P1ahyD4tnUKvkWG3HvhCbZxAvVgnLd1pnOUQb84iHrgF9wfyEVmDvdP23ufed4B2O8yhboWQKSgQOoPVWcCQSN/cQieByjLzimYLAJzLQkFuzqBihMwung3y9tFBKlvAWGIX78uWUDTAyovN00Ce/3E7mUvSyL6BQCfAfBu/v83O8d8EcA/Mcqhvw7g5yjNefvdzPxNIjoC+EkAX7rnzQ6J6LBhw4bd1t4F8NeI6PcBfDKvg4jeIaJ/CQCZEP5HAP5T/vcLeduHAHyRiP4LgK8iZQz/4p43e9suotIaOGZkWAvAglMIze7UwhFsVQal66YsQYvH7L7OhDPoFY+hpN66TiFBQlI8Fg6I+TzO/IBg3sIP6P4AKCcQWrUQrEZmRtV22mYRc2yj7DV4qJGQiqmCKGcuM2OOc+l6Gesq1RDazEAvZaNWbM8CxHw2EGMbqfci/xri4Ypf8PBP+znr2H/vu0zBqXoyjCO8SoJ8ltVAPR5ArtvOOoYS3TtJKMVT1brbFo+dnUjeK4IulYUCVWFYfUDhAcvsgZ3s/xmNwbfmBHYbM38LwI93tn8FwOfM+i8D+GV3zP8D8FfufY/WnmU+ASYqVcRAUzOQBnNxGPvkot6EJF6rG9A+QnnQp+rhJlAsD7TnByo4KEB737DetZDF9mWQ1g72YS2kcXEEGcs3EI/UEQDrpHFjkZQ4TtclAIRoJqmPim8nzuIE2QeFhgBgikbHLts2OgJ/fxbGAVAN+vZ4wfz9wF/22WtytX/NPP7v+wFJh08gD+wNBFSWPzyFmgju8AByXcsBaH8g27pbHIK08XaSUU8Gl+UVMviMdWWhgNlW9vVqA2S56Rz6zHUCLwgOelV201bSVSRt+ob01hulkOUELlUK2QZydp+vG7C9ix4+VCstnDqopxYCCj+gmQAXsjjdIyCu4AghhutMwLadhr5z2TnoaFfwfTl4rcWEtaamQD+sVRLNXJPITyiDXyACYrnWCdw4geA3LJiN+tN91fdbtheiV45r96Nat7aV/AVKEZguW+2/ie4PU9se2mYCngg+9KJ9mExAi8WQBnrfHwgoaiDXMI6f8tSfp6fyLpyrC7iBIgiA8gE9TqDpHRTMMc9iz0sMv0k26gSGDRv2+o1fVMXwq7LnUQeFkADyKo00jeJsGwmgaUxVKYUusKZuAAYeOp302xOFWjKa+YFKMur4AQ3uJ73rtB5dNbGp1s1fuI5eJaqd0j5R8Xj56JYWE9bsvmbC+wwRpe9Toumg2YMcmCL/J7lOqKNod/Bms/h+2da/d4/3222949dsrRWErQMQJZBwANIOuiiALBwkXUPLZ9j20YdQt5W2mQHiqcsDAGglofEEnE51LcCWuoAz5ltBpDYRobuvkYEaHtC/8z4zuPwpudS45kWGbbb7TC+ZO4pSNehTU0wGFLnorYrHPEms4EpIjsVLRgGpGTCSUQogOpm01/ADSPPy2kHfE8V28H6KpZe/EuJ+HYa/beSjHZLXEr9y2hUOQY8DN05htodWH9FCQ+fM+4vePfcGfbv93Pne1shfDwHZOgDLAaS2EIQP5b+bdQgfPkzpXB30lzmBQyAcA3SgJ+EAqnXhABYkoRUPUEjibl3AzjkD7HJVHNYM9B1+wBeMLn/S7W3AQbtswEHDhg17/cZjPoG9dpUTMCBIMt9Cwq5PB+21wOFQKncpthXEQD2BtVweZ4rHznQYtf83zeXiqWQNEsEYIptPiZCjA1bVQpYYZgYQSKtdU0Zg7vkwIWRYLB1Ty0cxFegoRNd9FOgqh4DtWUHXOpmB7jLn+izhEutG9Wci/62QD9BXLLXzAlPVDbTq+z9Rh/ytISDJ7iQLsOTvMTiJ6JIa6PTYksEeGlprErenU+hCcZidOGatQpjDoS0Iy8sNPPTM9lIkoq/NdjsBdv83zqBTMay9hNy+poLYDuY7sU6vFBKHZSWjOrADwAFFIpr5ASshVXgpVxeLWqhgIkbFY/mCmbWGAODWEViJqJOP1gN/OSPmKSN7zgA4rx6ydu64OPfrAeYbJvp7oZ6eXQL/2G6gdkL4dtAPXQhIPm8iVPzBRIRD/nsdQ5pSMu1DVw3keQAgOQvhAQCkZ3WpP1CvLuBSczAQgMUKYXUK06HzjhsHsf9uLjdmsI8khm2yi5zA2h+VUQZRcFReAAAoHJIuXx8QruSimg0AShKrc+mQxGw4gHP8wJJklE+PoMODnmNbSlC66TYzkO84l6xhmh6qthKeJC7EMfJg3eEI0g2jOIJ0cnIepQXFEmkcJtRtI5xdMqD6YxsO4U62d9AHzg/89jhP/tp1u9yTgdrov8hFi4RUjj0EM2dA1RbisU8EG6dgawaa1hDZEajtlIT6uoAuGZz3WZy/5QQCZA6OXsM4zwFdyiFdYswYTmCnDU5g2LBhb4C9nIrh12YXO4Fz2QAg0X0A5SgBzClCmHLUwNHsiwUSAtArHvMSUZWTXiEZTZ/Vbymh8jw9zywbaEjWD+FQhTlsQTLNBtKewDVHMGVOYJoFypH/kVs6p8hqZq6UQ5EZKqiSj7OTzCxkBXqtjXZNhH4v85i/j/7t9iX4RxRAdQGYLAeEQPiwZAJOBmo5ALmGKomCFJplfoGAqi3E/ARfFVzNHua6hDatIfY0iTPm20DYmcPSD9UWhxXV3yFF/JNoq73s22QJu+7uChuZwG67OhPoycQnRxKJXLSuIM7kqVTnrtQNNPMHWI/fg4TknDXJKGzNgCO5D3m/HGvxTSMb1XMPqX4g3U+HibC1ADPrMU951q98wwACnsiSAFFx6qc5lr7/c6zgIXEIMRcoVHwBUDmES0jkl2RLZC9wfuC32z38U2ShZZpN6QRq6wKsDNRzAMdQSOdDdgBVLUDmnuAkoX7OALL7TqcE/5xSlUbTGuIaSWinU2ivi6hAQRzqQb/C/R0/IPsit6KOe9twAvvsLnCQ8APVoB8OJcqZEkcAJL5AsgGgrRsgoF42n1PxAz1baSnBQOVo7AQ0OKEhivXc0yP4UDsVW0MwuaygxxGQeVZlEKZcKCbRfVom02o6mNYLqQBNjn1STrno+7c4hCX7oB3D2oBfHRfqfdUcvegTv5Nb7/cDIm0EJ5+TyN56Xa4jrSJ0nTq1AIBmAeIUmjkDDBHckL0xlnoAWb+gQdyyGihH/o4MBhbqAiwZbJRCcqzOGw3kFuartzXsBdjgBIYNG/bqjZkRR9uIXXYzJ2Bjx8gGEgI08rddOiul0ErdAIB6ufeHvmDSmcpcJCUN5uiARi1USWF9TcHpMdUPZPPQEJmzU1Be1svEc5IxWHgIuj4RK1QUQsoQRHoaQppm0cJDPivQ2c1ESaTfuw7VPFzk7VZZwrnuoz7y95CPvc5S9O9bP/Tgn1oWWjiBg4N4JlNnYOsARAlkoSKysk+pBQBUDdSogzoTxWiDON8c7hLbUhks8I9XBAHLdQE+MzD7tF+h+z9QvXwPG8TwPrtpJmD/yDOXwVAdgCWDp3qf4I4EgCYGkLt2nh4NERxvKhmt+IETdCDnGICnR9DxQY+rOIWZajgID3UxWbYuNBRJx/kAVGM9oXDTU0iksRDGTxQR8u+Q+IFQ5gLmNMgJdGT5grRek8i2juCcU7B2zkFcamvzEawN+mV7PejL/p7sU1o/KDw0hZYHyB8qElBt/eBwf1sHIA5AOAB1ABbymR91H2bfJqI4BX56rOsATKfQxdYQ+djGzklC3T6RS9M06bsoDqCpCwj1wJ+ue0AssQdkXnS64fOyaqNOYLcNOGjYsGFvhA0nsM+ucgJWAWBVQkIIVQVWjgzWZWknYVNOIwutmstJa4m86yLJ6IJaCOhUE2fFD+x8xfJd5B7NumQDABpoyMpHRTxHbGGivI+BkCWkQIJdyHQVDREa+UsWoMVjMc3EFYwyQydeidwoieZY5hOQzEA+0yIITZHYBlL5ErPRvlgDAxmlTzmvr/gR4tdG/xbukWxAzrUTxB9cpD8ZZZFE/nYegCIJpVoGmrMAhXzmxwINZTVQVRBmFD8c57NqoF1ksN0mklCbGVgyOEzVu1hJu3MW0KsYZvknz13+vCDP0J0zAuZRJ7DXbpoJsBk0IgpkMknFsK0bMNAQh8lwAn3JKIBSSXxOMmqPseZ7C5nzGrXQyfIcD+Uhlo6j9jxYJ2GgoRDBh+wIAFAoAz4gA1tOm5lAVJRDxH14CMiDNbHWG0zEmENZj5FNRwmqlEQ9qEh/Old34NtP+DHl0kriVfjHwTy63Qz4/thAqBQ/AuP4gR+AKoFsW+emBXSol23/n6OpKZgIdSsIJwPtQkAoaiA7UQzPsz4vOD2tqoEqW3MAOyShFQ/gArJGDRRqpwBAoSC5Sy4vhO6f7usHEEcmsMtuRwwz15MmMuuDlQbYIhFlNoN+JoU5t3VO42IrGQVSdE6njZLRpfoBud9YahEUZ82zNtHxoWo7zadHU0NwqJvNAQ1nQHwoyyeAp1wQNj0AwZDBppAsRMkG5PfrZwYAcIqMiVj5AnEAUmg2hzLv7tPMeSqC8gbWc/jawdcQy7KtaexWlq/hBzw52J2rAG0mYAd92a5yzYz5+4FfrmM5AW35bAZ2G/lX+7xElMyAlltBNDLQDU3htBag1x766bEmhoH1TBfYxgOIJPRw1OOa/kDKCaRr2DoBrq570PdgztlnIYZTtllNl3FP4wEH7bXBCQwbNuz12yCGd9tNK4YbkYmRCx2sAigmCAhAygLCARQLDsLhUCJrjqrSwdNjygKMZLSXDQAoLae3TEDT4Bxc60psAAAgAElEQVQi0xPFz0PbcVQ+x91Dwx+YH4WRoLEgkZSRiFLmCugMPAQkiIgdzj/NCRKS9Sc7kTyztn0WqMhnBgAqyEjMQkdy7VvYEvaf9pnjViL/kFU5VhJqo33PARwCFXhtIdpP++rGbzIxzFFVzbFAPK4VRK8pXFMR7DuDKpS03B76kqrg/mxhrlhM9h0fcvO3WhGUL1StCzRkMwN5rjhnAfJ8MG6vJlszxpCI7rWbZQIRDkZAaalMnNvjy8M0lboArST2klGBg8JB9frdlhJAt3aAzCDfv+Ez1cR23XQcVWhI3oM8ATjY8h05pZdj9EIRmKK+cMdwULgnIENAAnsswEMAMIEwx8IXiEOoICBLBDMU/hGoyDuF9CHUTPN4ALlJ4guhvNc8FGQnq+8SwQbn94N+MIO1QEF+4AfSb2Vx/4AyuAPoOoTaCaCuAl7A+cnNEUCOA1AICEDTGfQORHD6smemjAyH1VYQlSTUkMGzkYTK+2+FIoFabuBuNjKB3XZDTsAsIw0govFhJH6gaiPhmslZtVDC1SUELsUp2lJCnknp+dOZgEZfrHNEcT5miyMASlZgOYKq2Zw97/QITLF8N84EuVcPIZHGxDibGaTfrOYLIpfsAACOE7RmIOH/qLKEnlMQs/uOkHkLyi+xNPivFZH120AsH2MH9nQsNdG/3S6JlZC9NmOqSeOC+6tTcAN9WTbrQv6uFIAtzhGwxgHIsq8FAC5zAAtEcHeimMNxvTVEmM6qgeQ9Zi5ikDkmB1DNBS2/HXKmcG+F0HACu2xwAsOGDXv9xkAccNAuu9oJsMO8ARstmlwwskokp+AbyNWS0UqhAIe/Hx+ArOLhELc3mFtTC23oOKrfKENDliOwVcw9fqDhD6yEVJRDmStYgocmLlHWnCP/KX/QHFkhovQ5RUnEeb9O4L6QGQApAzii7JP9Yn46SQsTHTfk+8GF/z7aL9vbrKCGgMpxadrIHN0jQTkiTp5CgdOmzAd43L+SiHr4RyL4+VQrgDzc01MAmWO1DmCBA9jVGRQ4rwayU0naBnHHB+XkEA4J43edQmVfTxIazXOnnADS82mfFzsh0b25AcaAg/ba1XMMi0VmUzKet+V9BAZRmZM2EKr5BBrJKFCchOtG6mchq/7H8gC+SBTrF9jPEQAPXTiIOSoEBACUoSGy/IF2Vk1cgYeHdKB3fMHEZVAmKhARAESUAW3OUj2BipacQrqHvL4w8EeHBVlnscWaeQAqLsBsJ0cGG7zeD/pEqAZyonbgl32VM3G4P63BP67l89o+mRaSDMRzlgO4EgJaJIKNUzg3W5iFfM5JQmfzfsuzErnmBIA8DjwPL5wloqOB3B7r1GwOGzZs2LC3xW5cMZz+l+hAKLoZCdqQOGHmJBkFOpF/XqZpAQ4ydy3QSqMWAopiSFQRMNkAsIsolusAFtKRKmYjubPtMfz9x6wQAqqsIBHkNTw0hYBZWkwY0niinBlIEpGzAtv+Qat+OUVsFirymYH+ZFGUQwYOsnMfuMj/2ophH+3b7SViL1E/UEf+BKogHyKqJKREJcMIThLaEMPpAclftA//2Ohfju0RwcSshYdtK4gOEby1KRzQZgD+x5NjXFWwzqd9OBQICMjLLRkMFJLYS0ItGSxZgRDDddfQBEwCqCfYu4uNthF77fo6gfx/lQbKPuMMZpMbimQUWG4poYNujEYyUysZltRCsi8NzgYqsrLRHRyBfLdmXXoNAYmvUCUGSgU0kA6y341r5VAFD9EJPB20E2sIAZNWD6efpEA+whlk/NXwAzH/pEWlUbYByP2f8t/JOAf5bkC5bjreQUIbHcH6lJBl2Q726bg02OvAT+2gr8dmpyDX8Ji/5wRCD/cHAI59+CfWA39azg7BzggWzbSQrhXEVTLQngMw+xo1kKsKBlo1kM4WZpxCPZ1kcQoiCbU8AJvlyDUUfO82EZXxUAfttRu3ki74YG213DE9RILxCjlsWkoABis/VFH4FqIYgM7+Vd1KjHWzuY19hrpZgTSXkxYTMn4EIwHNM5Sp04KP/qdSJOf5AgrQugIACAetsxCHIC9jyQSgv68sy0trX04z3UBu92EGfq7/fpI5FCM9bq95jlAG+mrdcgSAtiT2g76P9pvo32H+6kw4pueh195Bcf068q/IXzsbWNb/p3XXAtq3gsjHpP8vdwDV4O+JYDPoNwVhC0SwZgF24K8Ky9rWEMonRdOokOuAIDCBqS8pvqbGZNkGMbzXhkR02LBhr96YMRrI7bTbVQxziboT5MAVJ1BNOBpZg5iZKUW4ZlIZCw81apsVtRAdUGYHg8sM9EYFr98ADfVaTLhD+OkxT8QRm3tAmFVCqvfv4CCNyDiqeijfYK0sopPitpIVSPuJyElJJIHYhALhMAiTzQS4pO7pcwkx31GTBbgsQY6pfqKNUZ0vDmuyAd1O1fEJ/iEHD8kyOY4gQ0DmWpM9L0f/AEqBF7cQT4r6TQEYc1X01cwG5hRAmg0ALfwjx8BwAHsgoI4aqHAAE+hwLJnsFjWQykCp8AMZDrKtISwPYBWBtnkcAEQqLdPTuctf8TY2OIG9dpeZxSJyHxHphZ9TQ8UPyUgPc/3AZAf9EGsIyFcT532eKIadHezUcQrVzXagoR3y0eo+8ue2ra/Ly4mDwaG79RIGBnPwUOMQ8ovtSWRGwb5ZKoS5OIUKuzVcjcd1geIg0rXMT3LFS20HeN1mflU/sKdzqLvPQz7WSTRkr+n5o/COgXUqfqC3z7V/SIvzNvIXuIwABtZJYN8Z1Az6unyw5O86EdzARXk5Gq5p5pYH0GUXQAQAoP4zcxeuYHACu223E5D+4fYhEJMHQiKySIw0raKMPGXZ1g8Aqb8QT6WBnC0kk+GqiqRtb5MDEg4PYKmGwDsCwGQFlyiHfBtq8xl660DV+nopM0grsZ5rWabkFCVRzgzyDVdzNiuJXDX+KlnClP9P1+UOMVyWUe1Lv7j9zZYG/7VIr1cnZDMDqrZT7RyoDPZyrYYYtsdKLycgOXoz6Fe4vuD+ZuCvsgI2fIEemx1pL/I/Q/7q73QtB7DSFK6qCzj0C8AaxY8vCHO9gWYu4o+ZueIBPCfg5xO5f/RvjAH21YwfkBHRRwD8OoAfAPAHAD7FzN/uHPdbAH4EwO8y80+a7X8RwK8B+HMAfg/Ap5n58V73O+oEhg0b9uqNwYhzvNm/K+3zAN5n5h8E8H5e79kvAfh0Z/s/BfDPmPkvAfg2gM9ee0Nrdpc6gbRcsEOiFPnbaRVlec4pg0R6TKGvFtILx1rJAJSIjYKmwAR0KntrKEktQ0O75KNhqiM9oCiHhCsQeEjaTTh4SO5d2moDhS+wldNNVmBlftXvUiI/4VsEno1MFScAUDUloE/fz2UBW6O9rdmAjfiBWhkk55BfVilnrHD/JvI3kI5CQyrR5ZYT4HIdkX6mVaP46TWBAxoISM+z+3p2hgOwEJDWwBwe0NQCVNF/Jyvw8JCtCjYN4ubMAwCS/XMF+1pOoPoaOeO0z9ldjQG+j+xoj/0UgE/k5V8F8GUAP+sPYub3iegTdhulh/3HAPxtc/4/BPDP73KnuCkxbFJBk0IC6YGYLRwEox0LhGBwR4QOUSxnCWSS1xt4CCgv+TQBdqpH0+/HXzfd9H6OQD/bGbvtUthWwUNy/vEBTLHhC8g6POsQwqkq4qFoUvpIBipKx1ZOgYK+9MkhGAIPfQcB1H/TW0hEQ7WtP9A36x7ucYM+OCpsAzeQW62/HmcHfif7VPjn6bEa+M/CP7IdDv6x+3u2hQPoFYDl5aoWoMcDAAUKWoCHLBE8R86OoKyLTDStFwioeR7cC2G5p3tZfCFwEICPMfM38vIfAfjYBef+OQD/m1nlJV8D8H23vDlvQyI6bNiwV298e2L4o0T0FbP+HjO/JytE9CUA39s57+fr+2ImohfjnXp2g5nFbKQoUYGXi6VswLYqkOCTNbIo8tFGLQQ5Nm7q0lkvm8lgOtmAHJs+ewdRDKxLSO22ONfwkM0K8nUq0tgSdhURHOpCswz/yOQ79ry03WcGJganUBHK6Z/9XeqJZtaeZp+Ne1moNR/pN9stFBNNlA4sR/4C9yjEU2cNPXioKfoCiuxTIJ5c/OWjf73VaxRAwEUyUA8ByXKCHs8UhKFAQ01mYCaMt2ogK/0UNVARg1i5aP2VpKnhsxnzrYnhbzLzO8sfx59c2kdEf0xEH2fmbxDRxwH8yQWf+y0A301Eh5wNfD+Ar19w/sV2n95BaOVi9XSTsgHIcx0uq4WcjLI30HunYJfL+PLQ5Qj8eekLXMARAF14SK5bbQs1v1F9F5GWGr6ApqmGgGy/JcsBxKT7LtBRUJiDKVTnapsAxd7Nvnyu1mHk43VYssf1tq1l+9yJ0nSgr/dXEI8cZ7F7rp1AM+h7yKd3rAz6buBPh859+GdpBjBgH/wDXMwBeAgIQHEA4cxADxgOoJaIKuSzQQ2kHAGMosyFB73eVPe2FwQHfQHAZwC8m///za0n5szhPwL4W0gKoYvO32O3m1nMLrsHY+bUz8ZONykZkrST8ESxHVF8VlAN9BxBgm+baFkI5oovuIQjgBvE17ICu928yEs1BQ1xDECmzbTriKYP/DSlwjigOAD7Xe1gHt0gH+pjIcfrFzUZRjQNHKzj8Oabll1ivqiHY7PcDN52/7lB3zsJeyzXxzYDv9zfGu4PXD/4A8sy0LyvywG46B+ADurNFJHB/M1tVhAOSQoKqAMoTuA8EaxOIpZ33GcCE7Xb3iJ7F8BvENFnAfwhgE8BABG9A+BnmPlzef13APwQgO8ioq8B+CwzfxGJRP41IvpFAP8ZwL+6580OTmDYsGGv327PCew2Zv4WgB/vbP8KgM+Z9R9dOP+/A/jhu92gs7tUDAMpQqgjgTLn8Ayu4SCnFrKVZsHOTdyDg7htMKfL8dRpP1FzBOnG51RhbK6bIB7T+M1H+ucygnxsDx4qv8gGvkCK3XpZgWmfAdNOAxTqaL6XGZj9zXm9LMGvC7S+ccYo6gHEnQygt0w+G1iL/M3/5CL/SvGTMf8ezu+rfuX46m97A/gHyFmA/Xv4VhC5KZyHgxoOwEf7PQhIlifbJiIYXq5tD+3VQDVH0E4kJY+DzwLunRQw0Ex6NGybXe0Eej+7ryYGJIVMGyaQppHMlJyCIYZFNgoIPJT2TT2Ix3xIly8QstQ5EAsNAUgtJqIZ9N13qrD8LfCQ7DsHD3m+QAai7ABUtmocAp9k8LBOwZG/Fv4B6n2xDDrVeUDjIOw1KrO8waXm+AHqOYDoHQG3xzjnsAT5AGUQZ73E3B/4gbJti+Zf7Br4x/ICwgHkCeE9HOQhIABoWj84sheWJM4OQP6mMxcpqF3XZTvoM1cOo+oYoD9M/o9y65iqf5DzFLe02xPDb41d5QQqDTnX68xuIDVYYvUIRMYUSmsC6TFUik/qLEEcQb5ketHrj9HPqJyCUxaBqI7CbSZwyC+qDAbV/e4gjcXOZQbGaYhD8JyBHtvJEnQAwbxM/NrIv7ffOQg9pmeX8gJLDb6qgZybbd3B3h7TGfQB1AqfXnTfGfjlvE1Rvztv0fYUgIVOJnAwuL+tA6DQVQDZzMByAL4WwEb79r0VJZB1ChLg+WN1Los1SdidbXQR3WeDExg2bNirt1QnMDKBPXYXJ6CqIIPRTYGqVFHSRBLpqASVIhf1nAHkOFJdO4VDmowln9qTX+o+Dg6DP5Uui2c6jm5WDgHbsoIVOanef75uwxkAWQLaQkV6/xZGQIGLdL2THejn+izB7a+/z4WZQE8m6rdbPH9pv8scrGqnwvmBVuZpt2+I/uWalV0Y/eu9dvD/RgEUSlZgO4NqKwgnAwWg7Z/ZwT8WHrLQUQ/ykSC6XWbN4GUWOgsBFSVRPfnQs8PzwwnstrtlAv7PMWfYJy0DUxBHQUAASk0dY6njqEJDhiPA9NAtFvPrHNtCMx1McvdRbUMdQzVVJex13Pfq1QKcHSQW5KT2en47wlRJSxO0tAEqAkrtQb5Ogh8yTGLx2R4x3FuXz1lyDgtGW5yAX/eSUdRYPQPrg7vH85fwfnuMv6bu3zD4A2fhH93nC8DC1MwOZttBJ9inR/aGhgOo4KHpoeEAaknocmfQiHp+6iQLzefGMstYOr5gvmEiLPy172Q84KCdNuCgYcOGvX5j4AU1kHtVdrtiMUP8Sum5n5RcDpgCGa6XjUIIACgVkvmKYlnuEMWYsmwOaKAhXafYqoekeVg45MlecmT19JjIYYmg41yUQznS75HFwE54CNgEEYkxAMxzIRQtVAT0MwOzT9VF7rMBVFkCgGUJqJWhXmqdjMBLSH1hVqXq0e0dUteSvX7fSrFXc21rO+CfzQVgXgEkwoDjQy74suTvQisIgYm8RDS/F2tEcKkCzl8V7WxhtiDMQ0BN91D3vDxX6wgGXlLF8Kuyu2YC/gFRi0DdWKZTQyBtJNgM7bq9zxFgejA69lNSAInMMZ4WW0yIwkhbNBwfADtxCDpOxa3749Jl9/MFen7nuogxQQAOKlpzCnodyyOo5akQQ2gdhLWl7XLtqd5fDbo9swO0PW8BomnO6Qzklwz6zWctfM6qLQ3+K9p/rwBarAK28M+SDBQo28/IQHXZ4f4J9mnhIFHpacWwC+5m5urnvKaI/GrjMdH8XnsWOCiPWbVTyH8vCtTUEHSLyQCQ5ws6HIEvDluUjAKqV6YcaeqsXnlfRcpKJtDjCqapO+B1+YJ8vUXz+3oZQpi6cstF/sAOjLYthb9f+Sx1Cn7Qf1p907X57RZbkou679+Ssv0BH1jA+Rc+bxfZK7Yx6gecY5SCLyV7XS2Al4D6AjAKrQxU9rlWEL3oHygOIBrc3zsFNsfaWgBxAMoZeP8coVPKMu/OE3fbIIb32eAEhg0b9uqNecBBe+0GraTbbalSsN5RRQ2h7DtF4BCskoCriuJmMpozLSesfLThANBXB+k+gYNkn2TiPAFPCRpSrkCLkELiBMzn+C9OPprfkhHo+eu8gd7vgjWQlMBG3eu60G4lW7jWlmGYToawFPEv7F/NktbOO2dLsk9gOQNYg3/CVLD/tKGWgEoRGJAygEV1UNsKogcBAdAswGcG7CAgAJoFnBwHYH9em91P96gEvsCa53fYJrtrJhBNignUD4l9eBilhiCiHtQm5FnJAAMNrXME6bPaFhOVU6DSbln3ceYPAOUJgOQc6Jj7DEn7gSV4aKnS2H52B/+/2CGY8886BcHj7Oc7x6DnTiv3ZGWpt7CV77zIJ+wd8M983qpdCv+4/Uvwj/b/MS3CUcFB1MI/eux5DsAP9EBxAH52MDsvgK8IthyAtUXOr2N3F+4wj0xgpz0rHKQPTaQKWrY1BGDUvYSQHEE6rh70eYkjANBrMUEhgOc88DtSksjsAwA2RWhmGURnMgNH5nb4goY8Btooc2eW4O+h95npXFN41ruf3j2dI3pvYZdkCFgZ8M9db83WIn6gIX1Xcf+VyF97/piBvxrkJ7fPE8OOPzinAAJaDkAcgFcEAbUSSCzGevAXB+FVQcNejw1OYNiwYa/feBDDe+3ZnIAtK5/Z4/qoaghKNgD4jGATR5A+EAgEyv0opulBZaJADQ2lyVTqfWCq4SA5lmM6dgkeuoQvwEJWAFzGG6wdtwAZ9T6/vWY/W7i5bYCYzkb8wH64B7g4+tdjzsk+PfzT0/7b6F/lzq4T6FKTOCT4xzd668lAZdlyAJIF9BrI9dRAvSxgi927rxwDQyK60541E7Cpo4WGLFGMWPcZ6kFDliNgXm4xESNXPMTkOQKdiauuIQAFUDw1fYcAJK6Ayny+Cg/JDFW92crsgOALzYxtgomAywa73rFnoKO1+7qHbRrgrV0z2IutENxrWn8ATcFXfU6Gg2zf/yX4R9fzLzwdlusCwgHaHiKv2ykhvbTTt4KwdQCeA1iCgDwRXCCl9gmOzJuJ4bvE6zzUQXttwEHDhg17A2zMJ7DXnqdYzMtFe9BQLxsAutCQzj7Q6zialyMxJgK0O2k+N9hIi5w6yGQGdp1z9TGQC8s8PFTNafBQwUEVPJRuoESNG7OCdK0roCJva+d1IuSLI/Vb2D0+8xzko8fVih+gH/3r+R34x1f+5p19+Me3fwBKhrCgAEoRfDpUun3Kusg8bSsIXwzWtobI652K4D0Q0HPzxD1Z+rBtdrUT2Iv1NdDQGY4ASM6AgabFBJNzCkDqSipTVQJASA/K1KsupgCKTh1kIJ+mpoBDDSVxNCk+lR5EC3yBPqrOISxVHus9GGtkntauGUA/iAH/1rYF6tFjO3zHguKnusZC/x+Bf6oJX5z6x8I/XvvfqIPcdawCSBBwVQPlZz1BOq0iCEDTCkIcQK8f0CUOYEkd9JzO4BLJ6rBiN8sEqo7E7g8fiBYfIMkKznIEQML9ZAGmxYSlXrMzKfMUZDxW+AEjIVXSONRzDUgNQbemQKSkMh8CcpGZKTSTojPPF4hDqBrT6Y9Uk8hrDsEWoImtSjvfhIF9zS4Z9PWchWjfXvPcwJ+Pa3B/3/PnXOTf0f779tBL5C8A7enjM4Ge7NO3ghAH0OsHtMYBLJl1Bs/ZSohRMqNhl9ngBIYNG/ZG2MgE9tlNnYD1/Cki2PZH2cIRAAUa8i0mJJ5mLjehcbqkyFQXmnnlULDVmnRqC8tMN1JRD6XrhrRf4CKzT/gC5RMkK/CcAQCZlF6gI432JYq3mYHdbo81tpoZWHstWcLGdhVXRf7m2KbVdif6B9JzxSba97h/1fohhKYq2LeG8AVgJZrvK4CAtgpYMgZ5T3qtIDwHcBMZqBVTPTcngJEJ7LW7ZALyAMhDsaXQ9CxHgCQBC0Q45A8QaIikY2GADvpTqKEiqS6WLoeWNBauQPsO+ZoCBwchnvRlJTqBQ0itq9HnC9RBZIfgOQPA1BRY0jjO5Ue0UBGce/VOQb91aw3Ju2Vwvbej2NmPaJXUXbj2WcjHnrNE9srAn3Zuwv0BFAdgp4XM0k/dbyrcLc6fZvhqIR+glXmKA7AzglkO4OTm+uhBQOm650dVCd4koLITzRNR1xncwz/Y32PYZXY3OGgKhKcdtRtnOQKkpnPyGQAQ8sA+R4J2sI0MonKu1BPoNJaBdCYi4QqiPtC5psBlBkBRCknbCeUPrJJI508OaeAXB5IdQsMZAJVDAFplUZUlAHWWAKxzCMbOvYBdJdCNmsZdYpsa1S2QunoNN7/B4qDv9nlnoGSvG/iBDq5PtKz4kajfFoS5/Vb7b/X8guV78hco6h9fAGYng4nWQZjIH7gu+rdmM2u6e3VJayMT2GeDExg2bNirN0Y7y9mwbXYzJxAopX9AAWAkMhBkZ2uEsdRiojsxTSBNg6fAiGyjkXIu5ykryWQKmrKHFGVNoTqzgYfSSgDNBg7KfEG1X+CfnBVolpAzgYYzAOqsAGjkpemzFvgDoIGSYKLgKkPoQEfWnj9+W7C1VhVrEI/fvyHy1322EyjQKH663T4F+vHR/VJTOApl8hepCs734Bu5zZENdl+wf2AdDpIsoMBBfQkocCUHUHFq+StV+8vy3avOMTKBvXa1E9jyRw8BxRNg24O22GICWJSQzhFpfmJA6wk8aVy7iHJdlZQioTkToYKHpMhMagIsMWzhIMSTGdiTQxCCGUw1Z2ClpeIQluSlQM0foOcUBDrqOAcHHYk1EJIdKD8I0ngBBmoG+t7xznFsHfTl+ouDvluvMP8M/TRQkcf98/1VxWKZ+C0Du23nwCoLBQwc5MhfIMVCW8hfvU5nPoC9g38lrqASZMlY8GKCimGLNuCgYcOGvRE2MoF9drtiMbOcoKE6YoioJZl7oaHuxDSd6mJRDkl1ccyRPhkISOdBFcJYCsuyqohMFiHZBiGk4rIFOWmK4OUmclYg0JFE+0ZJVCmHOCqUpPMZSLTKUeEiQo7gNVI/guMMwjF/bjsPbwUdmWMaAnYhY/C2hYRessWo3to5qadcy0f77hi/3362hXH075lOamSfi4ofnyVIuwcPD+V9lvw9J+Vs4CDU8wD487ZUAYvdAgKaqMwLMhFhCkUNRISmaJT8hhvaUAftt6ucALlaADIPQCColPMUgeOEFtbp2JZJKpY6HPvJaXx1cRIaFSWR7T5aw0FUeg/lddlHtMAX2IHeOwQZ6OMJ0oUUyAN/LIM+MRcoyUJDMA5E9oXJQElcHIP+SBscRHNsOl5srWcQHY6L+66xvuxz3SF0HQHQHfD1afXSTtlW7TOQT+jAQ0ArCe3BQ072WQZrmdClqHoKrl/DQV4BJBBQOq9fBdyz3p8/LARnvXfQDvyyDgDHKaTgT3p0AQggvcZzTDozMoF9doPeQfJHVtk9Jkq4umjyD4FU1gmkALOC9e2+Mw/L3tb2kXMZgQb/JROIxAhMsHONBZR1yQyAzCSYrIGQ+AKtKfAOIRqJKIWaDOYIBMcJGKeQtks2YpyC4RHS/aE4Bv0K5UcNLkI6O0fvue13tC1OwGcSbJ8ZM6hXg7Ws2+Mq3N9dozfodyWiTuvf4ROiG5zXInjvEKLJRn30v2fKRn1/FgKx3vvXG/SB9O4XmXb6J+KKKVA3G7iXJQc7vMAeG5zAsGHDXr0NddB+u14dJDBpACaDx9toeeaExUvkzSigw5xD9L24ZPpsK00t92XT056ZBqMJ/kG5v8gpG5Dv42ElDw/Jp0zhUOP8FEuhWYxOEcTwnAAkyM38AJuI3mcJJf9329eWAWBy635/NlrZd3OjlRTP7eO19ZXlbrRf7Q/1eWvwkMJBff5grqJ7WeZVGCcyw74FEbXsc8kIhEAlSwCn7FtPiS3ks4WWARwH4N4zecfkHqZgKoeJkqqO2mPvZSMT2GdXOYFA5QEmoK4LmAAStSO36as87odAeXsegDf8HdsupWafGfSr7RmuIgNf1fu2PaHiHCysFFEIsZmBIHCQh38CKvJXnUJaSfYD6KgAAASzSURBVOeYgZ3Ndu8gqv/9cqy325+Uej/w0kD/XA4AuMgJiLF/EMzA3Dt3Ef/3n9FzGMZpeJipgn8gOv1kkVscf2vAk56zzJEBmWPK3wWs7wHn90fvmMr7BbRBE/O2Z93LPd2nqABE7i+1XslOINTrO1HczZagtTt/yBtqu51AoPSjk/mjlwePENhwBKgHdxv96La9N4L+A7ZlsLfvRsoaZJmq/XbfkpkO1ZWzCxRKDUFWCpU6gpr4TYe4gb0zEFc8gT3W2sIAzt3rXfDr38oxrA369uMudQ5+20Jm0HUg9tjQcR5LDgM+wNmG1xPy8yIf6atYCKUvVg64RKxgMwr4z2ebm9723fL9gIoTSByA3F9yAGU/EZn364obWrGXkgkQ0UcA/DqAHwDwBwA+xczf7hz3WwB+BMDvMvNPmu3/GsBfBfB/8qa/w8xfvdf93ttBDxs2bNjdjZGc3a3+XWmfB/A+M/8ggPfzes9+CcCnF/b9PWb+y/nf3RwAcK1EFMWrMxdJKEmLZ4lajDpCLC6kpHuceU+B4KMNf4hNkftp7/Kx1nP2Mg5vmh/5SNJE1b3sAOhH6dzT+a1F6Oei9xcSQS1ZE7V72wEleZlZk3GsQUf2vIWPDebZ12eEGaCyXqDUgqnK9SaQi+7leiXbXroH/27t/fOee6/8O2Jx/4kkMzj/ftzGXlTvoJ8C8Im8/KsAvgzgZ/1BzPw+EX3Cb39uu5oTkAd1CgWvDCF508k5AbFzf6pzqfTWB6p3WE+v3H3Ym2Pqg845mZ7VSTo2wRk9+Ka5uR0QjXUuL+bV2WCr8NCanTvvQkey9pvVg6PdkQb2yRzIrgBy6S9ZxrfMu3UGvK1/x2vfr7X3ynIEFjqyAeM97A7qoI8S0VfM+nvM/N7Gcz/GzN/Iy38E4GM7Pv8fE9HfR84kmPk7O66xyYZEdNiwYa/e7lAn8E1mfmdpJxF9CcD3dnb9fHVfzExEl97YzyE5jwcA7yFlEb9w4TU2280mmjfT+RYVg5Er8DOnapeUqO+JfC69hliTDeiHLESidvtSxL8jOn5N0f/dbGdW0fvtlv7+Puqe/HFE1fXWlJv1tZYfuOd819Yy5MWM6B72zOogZv7k0j4i+mMi+jgzf4OIPg7gTy68tmQR3yGiXwHwd6+41bN201bSYpH7D/tLteecCu+qj9oLhQy7qRG2O9FbPVvdd2rJXsi79txTTL4g+wKAzwB4N///m5ecbBwIAfibAP7r7W+x2F2nlxyWbPwcb57Zv+lzBKDjnVq3F9Y24l0Av0FEnwXwhwA+BQBE9A6An2Hmz+X13wHwQwC+i4i+BuCzzPxFAP+WiL4H6TH7KoCfuefNDk5g2LBhb4S9lGIxZv4WgB/vbP8KgM+Z9R9dOP/H7nd3rQ0n8AzWivqGvSn2Qsadt95eWCbwqowuIZGI6H8ipTfDhg0bdo39BWb+nltdLFfffvRW10NSB/3EDa/3Yu0iJzBs2LBhw94sG3KTYcOGDXuLbTiBYcOGDXuLbTiBYcOGDXuLbTiBYcOGDXuLbTiBYcOGDXuLbTiBYcOGDXuLbTiBYcOGDXuLbTiBYcOGDXuLbTiBYcOGDXuL7f8Du5CHhKXgsJYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "omega = 2*np.pi*200e12\n",
    "dl = 0.02 # grid size (units of L0, which defaults to 1e-6)\n",
    "eps_r = np.ones((200, 200)) # relative permittivity\n",
    "NPML = [15, 15] # number of pml grid points on x and y borders\n",
    "\n",
    "simulation = Simulation(omega, eps_r, dl, NPML, 'Ez')\n",
    "simulation.src[100, 100] = 1\n",
    "simulation.solve_fields()\n",
    "\n",
    "simulation.plt_abs(outline=False, cbar=True);\n",
    "simulation.plt_re(outline=False, cbar=True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ridge waveguide"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This example demonstrates solving for the fields of a waveguide excited by a modal source."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "input power of 0.0016689050319357358 in W/L0\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "omega = 2*np.pi*200e12\n",
    "dl = 0.01 # grid size (units of L0, which defaults to 1e-6)\n",
    "eps_r = np.ones((600, 200)) # relative permittivity\n",
    "eps_r[:,90:110] = 12.25 # set waveguide region\n",
    "NPML = [15, 15] # number of pml grid points on x and y borders\n",
    "\n",
    "simulation = Simulation(omega, eps_r, dl, NPML, 'Ez')\n",
    "simulation.add_mode(3.5, 'x', [20, 100], 60, scale=10)\n",
    "simulation.setup_modes()\n",
    "simulation.solve_fields()\n",
    "print('input power of {} in W/L0'.format(simulation.W_in))\n",
    "\n",
    "simulation.plt_re(outline=True, cbar=False);\n",
    "simulation.plt_abs(outline=True, cbar=False);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Making an animation "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This demonstrates how one can generate an animation of the field, which is saved to 'fields.gif'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib import animation, rc\n",
    "from IPython.display import HTML\n",
    "from angler.plot import plt_base_ani\n",
    "animation = plt_base_ani(simulation.fields[\"Ez\"], cbar=True, Nframes=40, interval=80)\n",
    "\n",
    "HTML(animation.to_html5_video())\n",
    "animation.save('fields.gif', dpi=80, writer='imagemagick')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
